On-line mathematical papers of Askold Khovanskii

Most of the papers are in Russian (TeX files typeset using the standard AMS Cyrillic encoding).

Topological obstructions to the representability of functions by quadratures.
Journal of dynamical and control systems, V.1, N.1, 99-132, 1995.
Abstract (English).
TeX source (zip) (English) (21 Kb). PostScript (zip) (English) (74 Kb).

Summy konechnykh mnozhestv, orbity kommutativnykh polugrupp i funktsii Gil'berta (Sums of finite sets, orbits
of commutative semigroups and Hilbert functions). Funkts. analiz, V.29, N.2, 36-50, 1995.
Abstract (Russian).
TeX source (zip) (Russian) (18 Kb). PostScript (zip) (Russian) (71 Kb).

Mnogogranniki Nyutona i vychety Grotendika (Newton polyhedra and Grothendieck residues, with O.~A.~Gelfond).
Doklady RAN, V.3, N.350, 298-300, 1996.
Abstract (Russian).
TeX source (zip) (Russian) (6 Kb). PostScript (zip) (Russian) (36 Kb).

Branched Covers of $S^2$ and Braid Groups (with Smilka Zdravkovska).
Journal of Knot Theoty and its Ramifications", V. 5, N. 1, 55-75, 1996.
Abstract (English).
TeX source (zip) (English) (19 Kb). PostScript (zip) (English) (70 Kb).

Prilozhenie 3: Razdelyayushchie resheniya i otnoshenie poryadka (Addendum 3: Separating solutions and the relation of order).
From the Russian text of the book "Fewnomials", "PHASIS Publishing House", Moscow, 1997, 198-207).
Abstract (Russian).
TeX source (zip) (Russian) (9 Kb). PostScript (zip) (Russian) (36 Kb).

Razreshimost' uravnenii v konechnom vide (teoriya Liuvillya, differentsialp1naya teoriya Galua, topologicheskie prepyatstviya). 22 pp.
A lecture given in Math. College, Independent University of Moscow, for the students of Ecole Normale.
Abstract (Russian).
TeX source (zip) (Russian) (19 Kb). PostScript (zip) (Russian) (70 Kb).

Consistent partitions of polytopes and polynomial measures.
Topics in Singularity Theory: V.I. Arnold's 60th Anniversary Collection, 157-166, 1997.
Abstract (English).
TeX source (zip) (English) (11 Kb). PostScript (zip) (English) (53 Kb).

Mnogougolniki Nyutona, krivye na toricheskikh poverkhnostyakh i obrashchenie teoremy Veilya
(Newton polygons, curves on toric surfaces and the inversve of the Weil theorem).
Uspekhi matematicheskikh nauk, V.52, N.6(318). 113-142, 1997.
Abstract (Russian).
TeX source (zip) (Russian) (30 Kb). PostScript (zip) (Russian) (99 Kb).

Ob odnoi lemme Kontsevicha (On a lemma of M.Kontsevich).
Funkts. analiz, V.31, N.4, 89-91, 1997.
Abstract (Russian).
TeX source (zip) (Russian) (4 Kb). PostScript (zip) (Russian) (27 Kb). PostScript (gz) (English) (25 Kb).

Kraevye indeksy polinomialnykh 1-form s odnorodnymi komponentami
(Boundary indices of 1-forms with homogeneous polynomial coefficients).
Algebra and Analysis, V.10, N.3, 1998, 28 pp.
Abstract (Russian).
TeX source (zip) (Russian) (24 Kb). PostScript (zip) (Russian) (92 Kb).

Multiplicity of a Noetherian Intersection (with Andrei Gabrielov).
Geometry of Differential Equations, Amer. Math. Soc. Transl., Ser. 2, Vol. 186, Amer. Math. Soc., Providence, RI, 1998, 119-130.
Abstract (English).
TeX source (zip) (English) (12 Kb). PostScript (zip) (English) (62 Kb).

Geometriya mnogogrannikov i algebraicheskaya geometriya (Geometry of polyhedra and algebraic geometry). 11 pp.
(Appendix to the Russian edition of Fulton's "Toric varieties", Phasis).
Abstract (English).
TeX source (zip) (Russian) (12 Kb). PostScript (zip) (Russian) (48 Kb).

Newton polyhedrons, a new formula for mixed volume, product of roots of a system of equations (Mnogogranniki Nyutona,
novaya formula dlya smeshannogo ob"ema i proizvedenie kornei sistemy uravnenii)
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, 325-364.
Abstract (English).
TeX source (gz) (English) (42 Kb). PostScript (gz) (English) (140 Kb).

Abstract (Russian).
TeX source (zip) (Russian) (42 Kb). PostScript (zip) (Russian) (140 Kb).

Semeistva sechenii kvadrik i klassicheskie geometrii (Families of plane sections of quadrics and classical geometries).
``Funkts. analiz", V.34, N.3, 91-95, 2000.
Abstract (Russian).
TeX source (gz) (Russian) (7 Kb). PostScript (gz) (Russian) (30 Kb).

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, 73-88, 2000.
Abstract (Russian).
TeX source (gz) (Russian) (12 Kb). PostScript (gz) (Russian) (43 Kb).

O prodolzhaemosti mnogoznachnykh analiticheskikh funktsii na analiticheskoe podmnozhestvo
(On the continuability of multivalued analytic functions to an analytic subset).
``Funkts. analiz", V. 35, N.1, 62-73, 2001.
Abstract (Russian).
TeX source (gz) (Russian) (14 Kb). PostScript (gz) (Russian) (51 Kb). PDF (gz) (English) (121 Kb).

Toricheskaya geometriya i vychety Grotendika (Toric geometry and Grothendieck residues, with O.~A.~Gelfond).
"Moscow Mathematical Jornal" (to appear).
Abstract (Russian).
TeX source (gz) (Russian) (17 Kb). PostScript (gz) (Russian) (67 Kb).


The complete list of publications of Askold Khovanskii.
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