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arXiv · 1807.07478

Logarithmic vanishing theorems for effective $q$-ample divisors

Kefeng Liu·Xueyuan Wan·Xiaokui Yang
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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 $$ H^q(X,Ω^p_X(\log D))=0,\quad \text{for}\quad p+q>n+k.$$

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Kefeng Liu, Xueyuan Wan, Xiaokui Yang. 2018-07-19. Logarithmic vanishing theorems for effective $q$-ample divisors. https://arxiv.org/abs/1807.07478

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