Online mathematical papers of Askold Khovanskii
Some of the papers are only in 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).

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

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

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

 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).

 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 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).

 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).

 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).

 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 (English).

 (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).

 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).

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

 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).

 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).

 (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).

 (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).

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

 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).

 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.
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).

 (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).

 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).

 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).

 (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).

 (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 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).

 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 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).

 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).

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

 (with S. Zdravkovska) Branched covers of $S^2$ and
braid groups, "Journal of Knot Theory and its Ramifications", V.
5, N. 1, 5575, 1996.
PDF (English).

 (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).

 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).

 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).

 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).

 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).

 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).

 (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).

 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).

 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) .

 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).

 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).

 (with O.A.Gelfond) Toric geometry and
Grothendieck residues, "Moscow Mathematical
Jornal", V. 2, No 1, 2002, 99112.
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 D. Novikov) Lconvexconcave body in RP3 contains a line, Geometric and
Functional Analysis (GAFA), V. 13 (2003) 1082–1118.
PDF (English).

 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).

 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).
PDF (Russian).

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

 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).

 (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).

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

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

 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).

 (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).

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

 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).

 (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).

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

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

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

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

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

 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 (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 (English).

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

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

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

 (with K. Kaveh) Note on the Grothendieck group of subspaces of rational functions
and Shokurovs bdivisors. Canadian Mathematical Bulletin 20131204.
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) 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 V.Timorin) On the theory of coconvex bodies. Discrete & Computational Geometry.
V. 52, No 3, 2014.
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 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).

 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).

The complete list of publications
of Askold Khovanskii.
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