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

Part of: Abelian varieties and schemes Families, fibrations Birational geometry Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  26 April 2016

Behrouz Taji
Behrouz Taji*
Affiliation:
Department of Mathematics and Statistics, McGill University, Burnside Hall, Room 1031, 805 Sherbrooke Street West, Montreal, QC, CanadaH3A 0B9 email behrouz.taji@mail.mcgill.ca
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Abstract

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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.

Keywords

familiesisotrivialitymoduliminimal model programspecial varietiesKodaira dimension

MSC classification

Primary: 14D22: Fine and coarse moduli spaces 14D23: Stacks and moduli problems 14E30: Minimal model program (Mori theory, extremal rays) 14J10: Families, moduli, classification 14K10: Algebraic moduli, classification
Secondary: 14K12: Subvarieties
Type
Research Article
Information
Compositio Mathematica , Volume 152 , Issue 7 , July 2016 , pp. 1421 - 1434
Copyright
© The Author 2016 

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