A Note on the Singularities of Residue Currents of Integrally Closed Ideals
Journal article, 2019

Given a free resolution of an ideal a of holomorphic functions, there is an associated residue current R that coincides with the classical Coleff-Herrera product if a is a complete intersection ideal and whose annihilator ideal equals a. In the case when a is an Artinian monomial ideal, we show that the singularities of R are small in a certain sense if and only if a is integrally closed.

Integrally closed ideals

Residue currents

Monomial ideals

Author

Elizabeth Wulcan

Chalmers, Mathematical Sciences, Algebra and geometry

Acta Mathematica Vietnamica

0251-4184 (ISSN)

Subject Categories

Algebra and Logic

General Literature Studies

Mathematical Analysis

DOI

10.1007/s40306-019-00342-5

More information

Latest update

11/8/2019