On some generalizations of Jacobi's residue formula

DOI10.1016/S0012-9593(00)01056-9zbMath0991.32003arXivmath/9905044OpenAlexW2111486142WikidataQ127983164 ScholiaQ127983164MaRDI QIDQ2725498

Alekos Vidras, Alain Yger

Publication date: 24 August 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905044

zbMATH Keywords

toric varietyanalytic continuationNullstellensatzBézout identityresidual currentsBochner-Martinelli formulamultidimensional residueGrothendieck residueCayley-Bacharach theoremscompact complex variety

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (9)

The membership problem for polynomial ideals in terms of residue currents ⋮ A vanishing identity of adjoint Reidemeister torsions of twist knots ⋮ On Bochner-Martinelli residue currents and their annihilator ideals ⋮ The Hartogs extension phenomenon in toric varieties ⋮ An interpolation theorem in toric varieties ⋮ Residue currents associated with weakly holomorphic functions ⋮ Analytic residues along algebraic cycles ⋮ Residue currents and ideals of holomorphic functions ⋮ Configurations of critical points in complex polynomial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Newton polyhedra and zeros of systems of exponential sums
• Bézout identities for certain systems of exponential sums
• Newton polyhedra and toroidal varieties
• The number of roots of a system of equations
• Newton polyhedra and estimation of oscillating integrals
• A geometric effective Nullstellensatz
• On the Hodge structure of projective hypersurfaces in toric varieties
• A global view of residues in the torus
• Multidimensional residues and complexity problems.
• Residue currents of the Bochner-Martinelli type
• Effective Nullstellensatz for arbitrary ideals
• Effective Nullstellensatz and geometric degree for zero-dimensional ideals
• Introduction to Toric Varieties. (AM-131)
• Residues and Traces of Differential Forms via Hochschild Homology
• NEWTON POLYHEDRA AND THE EULER-JACOBI FORMULA
• Une formule de Jacobi et ses conséquences
• Residue calculus and effective Nullstellensatz
• Residues in Toric Varieties
• Recent developments in toric geometry
• Sharp Effective Nullstellensatz
• Cayley-Bacharach theorems and conjectures
• Resolution of Singularities and Division of Distributions

This page was built for publication: On some generalizations of Jacobi's residue formula