TORIC GEOMETRY AND GROTHENDIECK RESIDUES

被引：16

作者：

Gelfond, O. A. ^{[1
]}

Khovanskii, A. G. ^{[2
,3
,4
]}

机构：

[1] Russian Acad Sci, Syst Res Inst, Moscow 117901, Russia

[2] Independent Univ Moscow, Moscow, Russia

[3] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada

[4] Russian Acad Sci, Inst Syst Anal, Moscow 117901, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2002年 / 2卷 / 01期

关键词：

Grothendieck residues; Newton polyhedra; toric varieties;

D O I：

10.17323/1609-4514-2002-2-1-99-112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of n algebraic equations P-1 = ... = P-n = 0 in the torus (C \ 0)(n). It is assumed that the Newton polyhedra of the equations are in a sufficiently general position with respect to one another. Let omega be any rational n-form which is regular on (C \ 0)(n) outside the hypersurface P-1 ... P-n = 0. Formerly we have announced an explicit formula for the sum of the Grothendieck residues of the form omega at all roots of the system of equations. In the present paper this formula is proved.

引用

页码：99 / 112

页数：14

共 10 条

[1]

[Anonymous], 1973, Lecture Notes in Mathematics

[2] CONVEXITY AND COMMUTING HAMILTONIANS [J].

ATIYAH, MF .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1982, 14 (JAN) :1-15

[3]

Bernstein D. N., 1975, Funkcional. Anal. i Priloen, V9, P1

[4] Combinatorial coefficients and the mixed volume of polytopes [J].

Gelfond, OA .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1996, 30 (03) :207-208

[5]

Khovanskii A., 1999, FIELDS I COMMUN, V24, P325

[6]

KHOVANSKII AG, 1977, FUNKCIONAL ANAL PRIL, V11, P289

[7]

Milnor J. W., 1965, TOPOLOGY DIFFERENTIA

[8]

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[9]

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[10]

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