Residue currents constructed from resolutions of monomial ideals

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Given a free resolution of an ideal $J$ of holomorphic functions, one can construct a vector valued residue current $R$, whose annihilator is precisely $J$. In this paper we compute $R$ in case $J$ is a monomial ideal and the resolution is a cellular resolution in the sense of Bayer and Sturmfels. A description of $R$ is given in terms of the underlying polyhedral cell complex and it is related to irreducible decompositions of $J$.
24 pages, 3 figures

Keywords

Complex Variables, Commutative Algebra, 32A27; 13D02

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/164177

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702847
 http://arxiv.org/abs/math/0702847

Collections

arXiv