Online mathematical papers of Askold Khovanskii
Some of the papers are only in Russian

 Newton polyhedra and irreducible components of complete intersections. Izvestiya RAN, Ser. Matematika, V. 80, No 1, 2016, 281304.
PDF (Russian).

 (with Yu. Burda) Polynomials invertible in kradicals. Arnold Mathematical Journal, V. 2, No 1, 2016, 121138.
PDF (English).

 Irreducible components of generic complete intersections, Proceedings of International
Conference on Toric Topology, Number Theory and Applications, Khabarovsk. 2015.
27–31.
PDF (English).

 On Algebraic Functions Integrable in Finite Terms. Funct. Anal. Appl. V. 49, No 1,
62–70, 2015; translation in Funct. Anal. Appl., V. 49, No 1, 5056, 2015.
PDF (Russian).
PDF (English).

 (with B. Kazarnovskii) Tropical Notherian property and Gr¨obner bases. Algebra i
Analiz, V. 26, No 5, 2014, 142–163; translated to St. Petersburg Math. J.
PDF (Russian).
PDF (English).

 (with V. L. Arlazarov, E. A. Dinits, Yu. S. Ilyashenko, A. V. Karzanov, S. M. Karpenko,
A. A. Kirillov, N. N. Konstantinov, M. A. Kronrod, O. P. Kuznetsov, L. B. Okun’,
P. A. Pevzner, A. L. Semenov, I. A. Faradzhev, B. V. Cherkasskii) Georgii Maksimovich
Adel’sonVel’skii (obituary). Uspekhi Mat. Nauk. V. 69, No 4(418), 169–176.
2014.
PDF (English).

 (with V.Timorin) On the theory of coconvex bodies. Discrete & Computational Geometry.
V. 52, No 3, 2014.
PDF (English).

 (with K. Kaveh) Convex Bodies and Multiplicities of Ideals. In book: Algebraic
topology, convex polytopes, and related topics. Tr. Mat. Inst. Steklova. V. 286,
2014, 291–307; translation in Proceedings of the Steklov Institute of Mathematics.
V. 286, 2014, 268–284.
PDF (English).

 (with Yu. Burda) Signatures of Branched Coverings and Solvability in Quadratures
Moscow Mathematical Journal.V. 14, No. 2, 225–237. 2014.
PDF (English).

 (with K. Kaveh) Note on the Grothendieck group of subspaces of rational functions
and Shokurovs bdivisors. Canadian Mathematical Bulletin 20131204.
PDF (English).

 Chebyshev polynomials and their inverses. Matematicheskoe prosveshenie. Ser. 3,
No 17, 93–106, 2013.
PDF (Russian).

 Ruler and compass constructions. Matematicheskoe prosveshenie. Ser. 3, No 17,
42–60, 2013.
PDF (Russian).

 (with K. Kaveh) Newton–Okounkov bodies, semigroups of integral points, graded
algebras and intersection theory. Annals of Mathematics, V. 176, No 2, 925–978,
2012.
PDF (English).

 (with K. Kaveh) Algebraic equations and convex bodies. Progress in Mathematics,
1, 296, Perspectives in Analysis, Geometry and Topology, Springer Science+Business
Media, 263–282, 2012.
PDF (English).

 (with A. Varchenko) Arnold’s Seminar, First Years. Notices of the AMS, V. 59, No 3,
393–396, 2012.
PDF (English).

 (with K. Kaveh) Convex bodies associated to actions of reductive groups. Moscow
Mathematical Journal, V. 12, No 2, 369–396, 2012.
PDF (English).

 Completion of convex families of convex bodies. Matematicheskie zametki. V. 91,
No 3, 440–458, 2012; translation in Mathematical Notes, 2012, Vol. 91, No. 3, 415–
429.
PDF (Russian).
PDF (English).

 Intersection theory and Hilbert function. Funct. Anal. Appl. V. 45, No 4, 82–94,
2011; translation in Functional Anal. Appl. V. 45, No 4, 305–315, 2011.
PDF (Russian).
PDF (English).

 (with Yu. Burda) Branching data for algebraic functions and representability in radicals.
In book: Algebraic method in dinamical systems. Banach Center Publ. Vol. 94
(2011), 131–142, Warsaw, 2011.
arXiv:0804.4095 (April
2011).

 (with K. Kaveh) Newton polytopes for horospherical spaces. Moscow Mathematical
Journal V. 11 (2011), No 2. 265–283.
PDF (English).

 (with V. Arlazarov and O. Slavin) Estimation of the distance between images for
translation. Doklady RAN, Computer science. 2011. V. 437, No 3, 313–315.
PDF (Russian).
PDF (English).

 (with V.A.Timorin) Polyhedra and equations. Matematicheskoe prosveshenie. Ser.
3, 2010. No 14, 30–57.
PDF (Russian).

 (with K. Kaveh) Mixed Volume and an Extension of Intersection Theory of Divisors.
Moscow Mathematical Journal. V. 10 (2010), No 2. 343–375.
PDF (English).

 (with K. Kaveh) Moment polytopes, semigroup of representations and Kazarnovskiis
theorem. Journal of Fixed Point Theory and Applications, V. 7, (2010) No 2, 401–417.
PDF (English).

 (with K. Kaveh) Convex bodies and algebraic
equations on affine varieties. 44 pp.
arXiv:0804.4095 (April
2008).

 Polyhedra and algebra. Trudy Instituta sistemnogo
analiza RAN. V. 38, 2008, 2335.
PDF (Russian).

 (with Yu. Burda) Degree of rational mapping, and the
theorems of Sturm and Tarski. Journal of Fixed Point Theory and
Applications. Vol. 3, No. 1, 2008, 7993.
PDF (English).

 Logarithmic functional and reciprocity laws. In
book: Toric Topology. International Conference May 28June 3,
2006. Osaka City University. Osaka, Japan. Contemporary
Mathematics. Vol. 460, 221229, Amer. Math. Soc., Providence, RI,
2008. PDF (English).

 Topological Galois theory. Solvability and nonsolvability of equations in finite terms.
Monograph. MCCME. 296 pp. 2008.
PDF (Russian).

 (with A. Esterov) Elimination theory and Newton
polyhedra. Functional Analysis and Other Mathematics, Springer
Berlin/Heidelberg, Vol. 2, No 1 December, 2008 4571.
PDF (English).

 Variations on solvability by radicals. Trudy
Matematicheskogo instituta im. Steklova, Vol. 259, 86105 (2007);
translation in Proceedings of the Steklov Institute of
Mathematics. PDF (Russian).
PDF (English).

 Logarithmic Functional and the Weil Reciprocity Law.
Proceedings of the Waterloo Workshop on Computer Algebra, 2006, Ed:
Kotsireas I, Zima E., World Scientific Press, 85108, 2007.
PDF (English).

 Arnold’s problem on hyperbolic hypersurfaces in projective spaces, IUM seminar
“Globus”, No 3 , MCCME, Moscow, 2006, 28–46.
PDF (Russian).

 Systems of algebraic equations with generic Newton polyhedra, IUM seminar “Globus”,
No 3, MCCME, Moscow, 2006, 4–27.
PDF (Russian).

 (with D. Novikov) On affine hypersurfaces with everywhere nondegenerate second
quadratic form, Moscow Mathematical Journal, V. 6, No 1, 135–152 (2006).
PDF (English).

 An analog of determinant related to Parshin–Kato theory and integral polyhedra,
Funkts. analiz, Vol. 40, No 2, 2006, 55–64; translation in Funct. Anal. Appl. 40
(2006), no. 2, 126–133 (2006).
PDF (Russian).
PDF (English).

 (with S. Chulkov) Hilbert polynomial for systems of linear partial differential equations
with analytical coefficients, Izvestiya RAN, Vol. 70(2006), no. 1, 2006; translation in
Izvestiya: Mathematics 70 (2006), 153169.
PDF (Russian).
PDF (English).

 (with T. Fukui) Mapping degree and Euler characteristic, Kodai Mathematical Journal,
Vol. 29, 2006, 144–162.
PDF (English).

 Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces,
Proceedings of the International Conference “Coxeter Legacy: Reflections and Projections”,
Fields Institute Communications, American Mathematical Society, Providence,
RI. Vol. 46, 2006, 129–157.
PDF (English).

 (with S. Chulkov) Hilbert and Hilbert–Sammuel polynomials and partial differential
equations, Matematicheskie zametki; translation in Mathematical Notes, Publisher:
Consultants Bureau, An Imprint of Springer Verlag New York LLC, Vol. 77, No. 1–2,
2005, 130–139.
PDF (Russian).
PDF (English).

 On solvability and unsolvability of equations in explicit form, "Uspehi
Matem. Nauk", Vol. 59, No. 4(358), 2004, 69146; translation in
Russian Math. Surveys 59 No. 4 (2004), 661736.
PDF (Russian).
PDF (English).

 Complex calculus, MCCME, Moscow, 2004, 48 pp.
PS (Russian).
PDF (Russian).

 R´esolubilit´e des ´equations par formules explicites (th´eorie de Liouville, th´eorie de
Galois diff´erentielle et obstructions topologiques). In book: Alekseev. Le theoreme
d’Abel : un cours d’Arnold, Vuibert, Cassini, 2004 (French translation).
PDF (French).

 Solvability of equations by explicit formulae (Liouville's theory,
differential Galois's theory and topological
obstructions). n book: V.B. Alekseev. Abel’s Theorem
in Problems and Solutions Based on the lectures of Professor V.I.Arnold, Kluwer
Academic Publishers, 2004 (English translation).
PDF (English).
PDF (Russian).

 On the nonrepresentability of functions of several
variables by quadratures "Funkts. analiz", Vol. 37, No 4, 2003,
7485; translation in Funct. Anal. Appl. 37 (2003), no. 4,
302310 (2003).
PDF (Russian).
PDF (English).

 (with D. Novikov) Lconvexconcave body in RP3 contains a line, Geometric and
Functional Analysis (GAFA), V. 13 (2003) 1082–1118.
PDF (English).

 (with D. Novikov) Lconvexconcave sets in real projective space and Lduality, “Moscow
Mathematical Journal”, Vol. 3, No. 3, 2003, 1013–1037.
PDF (English).

 (with O.A.Gelfond) Toric geometry and
Grothendieck residues, "Moscow Mathematical
Jornal", V. 2, No 1, 2002, 99112.
PDF (English).

 On the continuability of multivalued analytic
functions to an analytic subset, "Funkts. analiz", V. 35, N.1,
6273, 2001;
translation in Funct. Anal. Appl. 35 (2001), no. 1, 5159 (2001).
PDF (Russian).
PDF (English).

 Geometricheskie obobshcheniya zadachi o preobrazovanii nomogramm iz
vyrovnennykh tochek v tsirkulp1nye nomogrammy (Geometrical generalizations
of a problem about transformation of the nomograms consisting
of aligned points into nomograms consisting of equidistant points).
Nomography collection, No.17, RAN, Vychisl. Tsentr, 7388, 2000.
PDF (Russian).

 Families of sections of quadrics and classical
geometries, "Funkts. analiz", V. 34, N.3, 9195, 2000;
translation in Funct. Anal. Appl. 34 (2000), no. 3, 235238 (2000).
PDF (Russian) .
PDF (Englich) .

 Newton polyhedrons, a new formula for mixed volume, product of roots
of a system of equations, Proceedings
of a Conference in Honour
of V.I. Arnold for his Sixtieth Birthday, Fields Institute
Communicatins, Vol. 24, Amer. Math. Soc., Providence, RI, 1999,
325364.
PDF (English).

 (with Andrei Gabrielov) Multiplicity of a Noetherian Intersection
Geometry of Differential Equations, Amer. Math. Soc. Transl., Ser. 2,
Vol. 186, Amer. Math. Soc., Providence, RI, 1998, 119130.
PDF (English).

 Boundary indexes of 1forms with homogeneous
polynomial coefficients, "Algebra and Analysis'', V.10, N.3,
1998, 193222; translation in St. Petersburg Math. J. 10 (1999),
no. 3, 553575.
PDF (Russian).

 On a lemma of Kontsevich, “Funkts. analiz”, V. 31,
N. 4, 8991, 1997; translation in Funct. Anal. Appl. 31 (1997), no.
4, 296298 (1998).
PDF (Russian).
PDF (English).

 Newton polygons, curves on torus surfaces, and the
converse Weil theorem, "Uspekhi matematicheskikh nauk'', V. 52,
No 6(318), 113142, 1997; translation in Russian Math. Surveys 52
(1997), no. 6, 12511279.
PDF (Russian) .
PDF (English).

 Consistent partitions of polytopes and polynomial
measures, Topics in Singularity Theory: V.I. Arnold's 60th
Anniversary Collection, Amer. Math. Soc. Transl., Ser. 2, Vol.
180, Amer. Math. Soc., Providence, RI, 1997, 157166.
PDF (Russian).
PDF (English).

 Prilozhenie 3: Razdelyayushchie resheniya i otnoshenie poryadka
(Appendix 3: Separating solutions and the relation of order).
From the Russian text of the book “Fewnomials”, “PHASIS Publishing
House”, Moscow, 1997, 198207).
PDF (Russian).

 (with S. Yakovenko) Generalized Rolle theorem in Rn and C, “Journal of dynamical
and control systems”, V.2, N.1, 103–123, 1996.
PDF (English).

 (with S. Zdravkovska) Branched covers of S2 and braid groups, “Journal of Knot
Theory and its Ramifications”, V. 5, N. 1, 55–75, 1996.
PDF (English).

 (with O. Gelfond) Newton polyhedra and Grothendieck
residues "Doklady RAN'', V. 3, N. 350, 298300, 1996; translation
in Doklady Mathematics v 54, no. 2, 1996, 700702.
PDF (Russian).
PDF (English).

 Topological obstructions for representability of functions by quadratures, “Journal of
dynamical and control systems”, V.1, N.1, 99–132, 1995.
PDF (English).

 Sums of finite sets, orbits of commutative
semigroups and Hilbert function, "Funkts. analiz", V. 29, N. 2,
3650, 1995; translation in Funct. Anal. Appl. 29 (1995), no. 2, 102112.
PDF (Russian).
PDF (English).

 (with A. Pukhlikov) Integral transforms based on Euler characteristic and their application,
“Integr.transform and special function”, V. 1, N. 1, 19–26, 1993.
PDF (English).

 (with J.M. Kantor) Une application du Theoreme de Riemann–Roch combinatoire au
polynome d’Ehrhart des polytopes entier de R, C. R. Acad. Sci. Paris. Ser.I, V. 317,
501–507, 1993.
PDF (English).

 Newton polyhedron, Hilbert polynomial and sums of finite sets, “Functional Analysis
and its Applications”, V.26, N4, 5763, 1992; translation in Functional Anal. Appl.
26 (1992), no. 4, 276–281 (1993).
PDF (Russian).
PDF (English).

 (with J.M. Kantor) Integral points in convex polyhedra, combinatorial RiemannRoch theorem and generalized EulerMacLaurin formula, Preprint IHES, France, 1992.
PDF (English).

 (with A. Pukhlikov) A Riemann–Roch theorem for integrals and sums of quasipolynomials
over virtual polytopes, “Algebra and Analysis”, v.4, N4, 188216, 1992; translation
in St. Petersburg Math. J. 4 (1993), no. 4, 789–812.
PDF (Russian).
PDF (English).

 (with A. Pukhlikov) Finitely additive measures of virtual polytopes, “Algebra and
Analysis”, v. 4, no. 2, 161–185, 1992; translation in St. Petersburg Math. J. 4 (1993),
no. 2, 337–356.
PDF (Russian).
PDF (English).

 (with Yu. Ilyashenko) Galois groups, Stocks operators and theorem of Ramise, “Functional
Analysis and its applications”, v. 24, no 4; 31–42, 1990; translation in Funct.
Anal. Appl. 24 (1990), no. 4, 286–296 (1991).
PDF (Russian).
PDF (English).

 Newton Polyhedra (algebra and geometry), Proceedings
of XIII AllUnion School on the Operator Theory in Functional
Spaces, Kujbishev, 202221, 1989; translation in Amer. Math. Soc.
Transl. (2) V. 153, 1992, 183199.
PDF (English).

 Algebra and mixed volumes. In book Y.D. Burago and V.A. Zalgaller, Geometric
inequalities, SpringerVerlag, Berlin and New York. V. 285, 182–207, 1988.
PDF (English).

 (with V.I.Danilov) Newton polyhedra and an algorithm for computing Hodge–Deligne
numbers, “Izvestia AN SSSR”, Ser. Mathematica, v.50, N5, 925945, 1986; translation
in Math. USSR – Izv. 29(1987), No. 2, 279–298.
PDF (Russian).
PDF (English).

 Hyperplane sections of polyhedra, toric varieties and discrete groups in Lobachevsky
space, “Functional Analysis and its applications”, V. 20, N 1, 50–61, 1986; translation
in Funct. Anal. Appl. V. 20 (1986), no. 1, 41–50 (1986).
PDF (Russian).
PDF (English).

 Linear programming and generalization of Nikulin’s theorem, “Trudi VNIISI”, 81–
86, 1985.
PDF (Russian).

 Linear programming and geometry of convex polyhedra, “Trudi VNIISI”, 73–80,
1985.
PDF (Russian).

 (with A. Varchenko) Asymptotics of integrals over vanishing cycles and the Newton
polyhedron, “Doclady AN SSSR”, v.283, N3, 521–525, 1985; translation in Soviet
Math. Dokl. V. 32 (1985), no. 1, 122–127.
PDF (Russian).
PDF (English).

 On analogues of AlexandrovFenchel inequalities for
hyperbolic forms, "Doclady AN SSSR", V. 276, N 6, 13321334, 1984;
translation in Soviet Math. Dokl. V. 29(1984), no. 3, 710713.
PDF (English).

 Mixed volumes, “Uspehi Matem. Nauk”, V. 39, N5, 227–228, 1984 (Russian Math.
Surveys).
PDF (Russian).

 Real analytic varieties with the finiteness property, and complex abelian integrals,
“Functional Analysis and its applications”, V. 18, N2, 40–50, 1984; translation in
Funct. Anal. Appl. 18 (1984), no. 2, 119–127 (1984).
PDF (Russian).
PDF (English).

 Cycles of dynamic systems on a plane and Roll theorem, “Siberian Mathematical
Journal”, v. 25, N3, 198203, 1984; translation in Siberian Math. J. V. 25 (1984), no.
3, 502–506 (1985).
PDF (Russian).
PDF (English).

 Fewnomials and Pfaff manifolds, Proceedings of the International Congress of Mathematicians,
Vol. 1, 2 (Warsaw, 1983), 549–564, PWN, Warsaw, 1984.
PDF (English).

 (with V.Arnold, A.Varchenko, A.Givental) Singularities of functions, wave fronts,
caustics, and multidimensional integrals, Translated from the Russian. Soviet Sci.
Rev. Sect. C: Math. Phys. Rev., 4, Mathematical physics reviews, Vol. 4, 1–92,
Harwood Academic Publ., Chur, 1984.
PDF (English).

 (with L.Kantorovich and L.Korkina) Asymptotic optimization of consumption in a
model of twosector economy, “Siberian Math. J.”, V. 24, N5, 71–75, 1983; translation
in Siberian Math. J. V. 24 (1983), no. 5, 704–708 (1984).
PDF (English).

 Newton Polyhedra (resolutions of singularities), Current problems in mathematics,
V. 22, 207–239, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn.
i Tekhn. Inform., Moscow, 1983; translation in Journal of Soviet Mathematics, 1984,
27:3, 28112830.
PDF (Russian).
PDF (English).

 Local multiplicity of a holomorphic map, written by A.G. Khovanskii section 5 in
the book V.I.Arnold, S.M.GuseinZade, A.N.Varchenko, Singularities of differentiable
maps, 66–89, 1982; translation in: V.I.Arnold, S.M.GuseinZade, A.N.Varchenko, Singularities
of differentiable maps, Monographs in Mathematics, Vol 82, Birkhauser
Einheitssacht, 84–114, 1985.
PDF (English).

 Sur les racines complexes de systemes d'equations
algebraiques avant un petit nombre de monomes, C.R.Acad. Sc.
Paris, V. 292, 937940, 1981.
PDF (French).

 Theorem de Bezout pour les fonctions de Liouville, Preprint IHES, 81/85, 1–31, 1981.
PDF (French).

 Rectification of circles, “Siberian Mathematical Journal”, V. 21, N4, 221–226, 1980;
translation in Siberian Math. J. V. 21 (1981), no. 4, 649–652.
PDF (English).

 On numbers of solutions of real equations, “Uspehi Matem. Nauk”, V.35, N5, 213,
1980 (Russian Math. Surveys).
PDF (Russian).

 (with O. Gelfond) Real Liouville functions, “Functional Analysis and its applications”,
v. 14, N 2, 5253, 1980; translation in Funct. Anal. Appl. 14 (1980), no. 2, 122–123
(1980).
PDF (Russian).
PDF (English).

 Straighting of parallel curves. “Doclady AN SSSR”, V. 250, N1, 1074–1076, 1980;
translation in Soviet Math. Dokl. V. 21 (1980), no. 1, 284–286.
PDF (Russian).
PDF (English).

 On a class of systems of transcendental equations, “Doclady AN SSSR”, V. 255, N4,
804–807, 1980; translation in Soviet Math. Dokl. V. 22, (1980) no. 3, 762–765.
PDF (English).

 Geometry of convex polyhedra and algebraic geometry, “Uspehi Matem. Nauk”, V. 34,
N4, 160–161, 1979 (Russian Math. Surveys).
PDF (Russian).

 The explicity of Petrovsky–Olejnik inequalities, “Uspehi Matem. Nauk”, V. 34, N3,
223, 1979 (Russian Math. Surveys).
PDF (Russian).

 Index of a polynomial vector field, “Functional Analysis and its applications”, v.13,
N1, 49–58, 1979; translation in Funct. Anal. Appl. 13 (1979), no. 1, 38–45 (1979).
PDF (Russian).
PDF (English).

 (with V. Zhiyanov) Exponential growth in the onesectorial model of economics with
continuously distributed fonds, “Sbornik Trudov VNIISI”, N9, 25–36, 1978.
PDF (Russian).

 (with L. Kantorovich, V. Zhiyanov) Analysis of dynamics of economic parameters in
the models with continuously distributed fonds, “Sbornik Trudov VNIISI”, N9, 5–25,
1978.
PDF (Russian).

 (with L. Kantorovich, V. Zhiyanov) Principle of differential optimization applied to
a singleproduct dynamical model of an economic structure. Siberian Math. J., V.
19, No 5, 1053–1064, 1978; translation in Siberian Math. J., V. 19, no. 5, 744–752
(1979).
PDF (English).

 Newton Polyhedra and the Euler–Jacoby formula “Uspehi Matem. Nauk”, V. 33, N6,
237–238, 1978; translation in Russian Math. Surveys 33 (1978), no. 6, 237–238.
PDF (Russian).
PDF (English).

 Newton Polyhedra and the genus of complete intersections, “Functional Analysis and
its applications”, V. 12, N1, 51–61, 1978; translation in Funct. Anal. Appl. 12 (1978),
no. 1, 38–46 (1978).
PDF (Russian).
PDF (English).

 Newton polyhedra, and toroidal varieties, “Functional Analysis and its applications”,
V. 11, N4, 5664, 1977, translation in Funct. Anal. Appl. 11 (1977), no. 4, 289–296
(1978).
PDF (Russian).
PDF (English).

 (with D. Bernstein and A. Kushnirenko) Newton polyhedra, “Uspehi Matem. Nauk”,
V. 31, N3, 201–202, 1976 (Russian Math. Surveys).
PDF (Russian).

 Riemann surfaces of functions, representable in
quadratures, Reports of VI AllUnion Topological Conference,
Tbilisi, 1972.
PDF (Russian).

 On representability of functions in quadratures, “Uspehi Matem. Nauk”, V. 26, N4,
251–252, 1971 (Russian Math. Surveys).
PDF (Russian).

 Superpositions of holomorphic functions with radicals. “Uspehi Matem. Nauk”, V. 26,
N2, 213–214, 1971 (Russian Math. Surveys).
PDF (Russian).

 The representability of algebroidal functions by superpositions of analytic functions
and of algebroidal functions of one variable. “Functional Analysis and its applications”,
V. 4, N2, 74–79, 1970; translation in Funct. Anal. Appl. 4 (1970), no. 2,
152–156
PDF (Russian).
PDF (English).

The complete list of publications
of Askold Khovanskii.
Back to homepage.