On algebraic fiber spaces over varieties of maximal Albanese dimension.

DOI10.1215/S0012-7094-02-11115-6zbMath1055.14010arXivmath/0011042OpenAlexW2136450747MaRDI QIDQ1847889

Jungkai Alfred Chen, Christopher Derek Hacon

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011042

zbMATH Keywords

Kodaira dimensionAlbanese mapplurigenera

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10)

Related Items (15)

On Ueno's conjecture K ⋮ Algebraic fiber spaces whose general fibers are of maximal Albanese dimension ⋮ A derived category approach to generic vanishing ⋮ Unnamed Item ⋮ Standard canonical support loci ⋮ On varieties of maximal Albanese dimension ⋮ Kodaira dimension of irregular varieties ⋮ Subadditivity of generalized Kodaira dimensions and extension theorems ⋮ Kodaira dimension of algebraic fiber spaces over abelian varieties ⋮ Pluricanonical systems on irregular 3-folds of general type ⋮ Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun ⋮ On the Irregularity of the Image of the Iitaka Fibration ⋮ Cohomological support loci of varieties of Albanese fiber dimension one ⋮ On the characterization of abelian varieties for log pairs in zero and positive characteristic ⋮ Hodge modules on complex tori and generic vanishing for compact Kähler manifolds

Cites Work

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• Shafarevich maps and plurigenera of algebraic varieties
• Deformations of the trivial line bundle and vanishing theorems
• Duality between D(X) and with its application to picard sheaves
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
• Subspaces of moduli spaces of rank one local systems
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• Singularities of theta divisors and the birational geometry of irregular varieties
• Characterization of abelian varieties

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