Kodaira dimension of irregular varieties

DOI10.1007/s00222-011-0323-xzbMath1234.14006arXiv1008.2404OpenAlexW3104616923MaRDI QIDQ658957

Jungkai Alfred Chen, Christopher Derek Hacon

Publication date: 9 February 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2404

zbMATH Keywords

Kodaira dimensionadjoint idealAlbanese morphismalgebraic fiber spaceIiitaka conjecture

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (13)

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension ⋮ Some stability properties of special varieties ⋮ On subadditivity of Kodaira dimension in positive characteristic over a general type base ⋮ Varieties fibred over abelian varieties with fibres of log general type ⋮ Subadditivity of generalized Kodaira dimensions and extension theorems ⋮ Kodaira dimension of algebraic fiber spaces over abelian varieties ⋮ A note on Iitaka's conjecture \(C_{3,1}\) in positive characteristics ⋮ Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun ⋮ Subadditivity of Kodaira dimension does not hold in positive characteristic ⋮ Subadditivity of Kodaira dimensions for fibrations of three-folds in positive characteristics ⋮ IITAKA CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS ⋮ GENERIC VANISHING THEORY VIA MIXED HODGE MODULES ⋮ Unnamed Item

Cites Work

• On Ueno's conjecture K
• Shafarevich maps and plurigenera of algebraic varieties
• On algebraic fiber spaces over varieties of maximal Albanese dimension.
• Duality between D(X) and with its application to picard sheaves
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
• Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
• A derived category approach to generic vanishing
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