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

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[22] Higher canonical asymptotics of Kahler-Einstein metrics on quasi-projective manifolds
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[23] ORBIFOLD GENERIC SEMI-POSITIVITY: AN APPLICATION TO FAMILIES OF CANONICALLY POLARIZED MANIFOLDS
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[27] QUASI-INJECTIVE AND QUASI-PROJECTIVE MODULES OVER HEREDITARY NOETHERIAN PRIME RINGS
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[28] TORSION ABELIAN-GROUPS QUASI-PROJECTIVE OVER THEIR ENDOMORPHISM RINGS
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (01) : 13 - 15
[29] The limits on boundary of orbifold Kähler–Einstein metrics and Kähler–Ricci flows over quasi-projective manifolds
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[30] The limits on boundary of orbifold Kahler-Einstein metrics and Kahler-Ricci flows over quasi-projective manifolds
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