Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds

2022/01/27 by Zou, Yongpan
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2201.11458

Abstract

In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex Kähler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact Kähler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary.

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