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.

引用

页码：1469 / 1501

页数：33

共 50 条

[31] About canonical Kahler metrics on Mumford semistable projective bundles over a curve
Keller, Julien
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2016, 93 : 159 - 174
[32] Canonical metrics on holomorphic quiver bundles over compact generalized Kahler manifolds
Chen, Dan-Ni
Cheng, Jing
Lone, Mehraj Ahmad
Shen, Xiao
Zhang, Pan
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2025, 119 (01)
[33] SPINORS AND CANONICAL HERMITIAN-FORMS
ROBINSON, PL
GLASGOW MATHEMATICAL JOURNAL, 1988, 30 : 263 - 270
[34] Positivity of relative canonical bundles and applications (vol 190, pg 1, 2012)
Schumacher, Georg
INVENTIONES MATHEMATICAE, 2013, 192 (01) : 253 - 255
[35] Canonical metrics on complex manifold
Shing-Tung Yau
Science in China Series A: Mathematics, 2008, 51 : 503 - 508
[36] Canonical coordinates and Bergmann metrics
Ruan, WD
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 1998, 6 (03) : 589 - 631
[37] CANONICAL METRICS ON HARTOGS DOMAINS
Loi, Andrea
Zuddas, Fabio
OSAKA JOURNAL OF MATHEMATICS, 2010, 47 (02) : 507 - 521
[38] Canonical metrics on complex manifold
YAU Shing-Tung(Yau S.-T.)
Science in China(Series A:Mathematics), 2008, (04) : 503 - 508
[39] Canonical quantization and expanding metrics
Dipartimento di Fisica, Università di Salerno, Salerno, 84100, Italy
不详
Phys Lett Sect A Gen At Solid State Phys, 1-2 (5-10):
[40] Canonical metrics on complex manifold
Yau Shing-Tung
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (04): : 503 - 508

← 1 2 3 4 5 →