Logarithmic vanishing theorems for effective q-ample divisors

被引：1

作者：

Liu, Kefeng ^{[1
,2
]}

Wan, Xueyuan ^{[3
]}

Yang, Xiaokui ^{[4
,5
]}

机构：

[1] Chongqing Univ Sci & Technol, Math Sci Res Ctr, Chongqing 400054, Peoples R China

[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[3] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

[4] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[5] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2019年 / 62卷 / 11期

关键词：

logarithmic vanishing theorems; effective q-ample divisors; simple normal crossing divisors; compact Kahler manifolds; 32L20; 53C55; COHOMOLOGY; CONVERSE;

D O I：

10.1007/s11425-019-9553-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a compact Kahler manifold and D be a simple normal crossing divisor. If D is the support of some effective q-ample divisor, we show disp-formula id="Equ1Hi(X,Omega Xj(logD))=0,fori+jn+q.graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="11425_2019_9553_Article_Equ1.gif" position="anchor"graphic disp-formula

引用

页码：2331 / 2334

页数：4

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