Residues and Resultants

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概要

• 論文の詳細を見る

• Resultants, Jacobians and residues are basic invariants of multivariate polynomial systems. We examine their interrelations in the context of toric geometry. The global residue in the torus, studied by Khovanskii, is the sum over local Grothendieck residues at the zeros of $n$ Laurent polynomials in $n$ variables. Cox introduced the related notion of the toric residue relative to $n+1$ divisors on an $n$-dimensional toric variety. We establish denominator formulas in terms of sparse resultants for both the toric residue and the global residue in the torus. A byproduct is a determinantal formula for resultants based on Jacobians.

• 東京大学の論文

著者

• Cattani Eduardo

  Department Of Mathematics And Statistics University Of Massachusetts

• Dickenstein Alicia

  Departamento de Matematica, F.C.E. y N., Universidad de Buenos Aires

• Sturmfels Bernd

  Department of Mathematics, University of California

• Sturmfels Bernd

  Department Of Mathematics University Of California

• Sturmfels Bernd

  Department Of Mathematics Cornell University

• Dickenstein Alicia

  Departamento De Matematica F.c.e. Y N. Universidad De Buenos Aires

関連論文

• Residues and Resultants
• Homogeneous Riemannian manifolds with a fixed isotropy representation
• Grobner bases of toric varieties

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