CANONICAL SINGULAR HERMITIAN METRICS ON RELATIVE CANONICAL BUNDLES

被引：13
作者：
Tsuji, Hajime [1 ]
机构：
[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2011年 / 133卷 / 06期
关键词：
FIBER SPACES; KAHLER; EXTENSION;
D O I：
10.1353/ajm.2011.0047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new class of canonical analytic Zariski decompositions (AZD's in short) called the supercanonical AZD's on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD (h) over cap (can) under projective deformations and give a new proof of the invariance of plurigenera.
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页码：1469 / 1501
页数：33
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