Logarithmic vanishing theorems for effective q-ample divisors

2018/07/19 by Liu, Kefeng, Wan, Xueyuan, Yang, Xiaokui
#14F17 #32L20 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.07478

Abstract

Let X be a compact Kähler manifold and D be a simple normal crossing divisor. If D is the support of some effective k-ample divisor, we show H^q(X,Ω^p_X(log D))=0, for p+qgt;n+k.

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