algebraic geometry

A Bogomolov type vanishing theorem

arXiv:2607.14858

summary

The authors prove a Bogomolov‑type vanishing theorem for cohomology on projective manifolds, using nef line bundles together with multiplier ideal sheaves.

Abstract

In this paper, we establish a Bogomolov type vanishing theorem on projective manifolds in the context of nef line bundles and multiplier ideal sheaves.

Topics & keywords

#vanishing theorems#nef line bundles#multiplier ideal sheaves#projective manifolds#Bogomolov typeBogomolov vanishingnef line bundlemultiplier ideal sheafprojective manifoldcohomology
A Bogomolov type vanishing theorem · wovepaper