The isotriviality of smooth families of canonically polarized manifolds over a special quasi-projective base

被引：12

作者：

Taji, Behrouz ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Burnside Hall,Room 1031,805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada

来源：

COMPOSITIO MATHEMATICA | 2016年 / 152卷 / 07期

关键词：

families; isotriviality; moduli; minimal model program; special varieties; Kodaira dimension; VARIETIES; CLASSIFICATION; ORBIFOLDS;

D O I：

10.1112/S0010437X1600734X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that a smooth family of canonically polarized manifolds parametrized by a special (in the sense of Campana) quasi -projective variety is isotrivial.

引用

页码：1421 / 1434

页数：14

共 49 条

[1] On the isotriviality of families of projective manifolds over curves
Viehweg, E
Zuo, K
JOURNAL OF ALGEBRAIC GEOMETRY, 2001, 10 (04) : 781 - 799
[2] Families of canonically polarized manifolds over log Fano varieties
Lohmann, Daniel
COMPOSITIO MATHEMATICA, 2013, 149 (06) : 1019 - 1040
[3] The monodromy theorem for compact Kahler manifolds and smooth quasi-projective varieties
Budur, Nero
Liu, Yongqiang
Wang, Botong
MATHEMATISCHE ANNALEN, 2018, 371 (3-4) : 1069 - 1086
[4] RICCI FLOW ON QUASI-PROJECTIVE MANIFOLDS
Lott, John
Zhang, Zhou
DUKE MATHEMATICAL JOURNAL, 2011, 156 (01) : 87 - 123
[5] The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties
Nero Budur
Yongqiang Liu
Botong Wang
Mathematische Annalen, 2018, 371 : 1069 - 1086
[6] Characteristic varieties of quasi-projective manifolds and orbifolds
Bartolo, Enrique Artal
Cogolludo-Agustin, Jose Ignacio
Matei, Daniel
GEOMETRY & TOPOLOGY, 2013, 17 (01) : 273 - 309
[7] On the Albanese map for smooth quasi-projective varieties
Spiess, M
Szamuely, T
MATHEMATISCHE ANNALEN, 2003, 325 (01) : 1 - 17
[8] On the Albanese map for smooth quasi-projective varieties
Michael Spieß
Tamás Szamuely
Mathematische Annalen, 2003, 325 : 1 - 17
[9] Quasi-Projective Manifolds Uniformized by Caratheodory Hyperbolic Manifolds and Hyperbolicity of Their Subvarieties
Wong, Kwok-Kin
Yeung, Sai-Kee
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (02) : 1771 - 1800
[10] Families of canonically polarized varieties over surfaces
Kebekus, Stefan
Kovacs, Sandor J.
INVENTIONES MATHEMATICAE, 2008, 172 (03) : 657 - 682

← 1 2 3 4 5 →