An injectivity theorem II

TL;DR

This paper extends an injectivity theorem to a broader class of non-normal log varieties, including those with normal crossings, and shows it remains valid under certain locus operations.

Contribution

It introduces a generalized injectivity theorem applicable to non-normal log varieties and demonstrates its stability under the operation of taking the LCS locus.

Findings

Extended injectivity theorem to non-normal log varieties

Proved stability of the theorem under LCS locus operation

Includes cases with normal crossings log varieties

Abstract

We extend the injectivity theorem of Esnault and Viehweg to a class of non-normal log varieties, which contains normal crossings log varieties, and is closed under the operation of taking the $\LCS$ locus.