AN EFFECTIVE VERSION OF A THEOREM OF KAWAMATA ON THE ALBANESE MAP

被引：12
|
作者：
Jiang, Zhi [1 ,2 ]
机构：
[1] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France
[2] Max Planck Inst Math, D-53111 Bonn, Germany
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2011年 / 13卷 / 03期
关键词：
Albanese map; vanishing theorems; plurigenera; multiplier ideal; BIRATIONAL GEOMETRY; ABELIAN-VARIETIES; DIMENSION; SHEAVES; SPACES;
D O I：
10.1142/S0219199711004397
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Albanese map of smooth complex projective varieties with small plurigenera. We provide criteria for the Albanese map to be surjective and to be an algebraic fiber space. These criteria are optimal in some sense.
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页码：509 / 532
页数：24
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