A note on the singularities of residue currents of integrally closed ideals

Elizabeth Wulcan

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arXiv · 1901.01398

A note on the singularities of residue currents of integrally closed ideals

Elizabeth Wulcan

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Abstract

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

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Elizabeth Wulcan. 2019-01-05. A note on the singularities of residue currents of integrally closed ideals. https://arxiv.org/abs/1901.01398

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