Analytic adjoint ideal sheaves associated to plurisubharmonic functions

TL;DR

This paper demonstrates that the analytic adjoint ideal sheaves linked to plurisubharmonic functions lack coherence, challenging assumptions about their structural properties.

Contribution

It provides a proof that these sheaves are not coherent, offering new insights into their mathematical behavior.

Findings

Analytic adjoint ideal sheaves are not coherent.

The result impacts the understanding of sheaf properties in complex analysis.

Challenges previous expectations about their structural coherence.

Abstract

In this article, we will present that the analytic adjoint ideal sheaves associated to plurisubharmonic functions are not coherent.