On the Irregularity of the Image of the Iitaka Fibration

DOI10.1081/AGB-120027861zbMath1137.14008OpenAlexW1970904763MaRDI QIDQ4454165

Jungkai Alfred Chen, Christopher Derek Hacon

Publication date: 7 March 2004

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120027861

zbMATH Keywords

linear systemsfibrationsdivisorsbirational mapsIitaka fibrationAlbanese varietyirregular algebraic varieties

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fibrations, degenerations in algebraic geometry (14D06) Divisors, linear systems, invertible sheaves (14C20) Subvarieties of abelian varieties (14K12) Algebraic theory of abelian varieties (14K05)

Related Items (12)

The cohomological support locus of pluri-canonical sheaves and the Iitaka fibration ⋮ Unboundedness of fiber invariants of canonically fibered varieties of general type ⋮ Varieties fibered by good minimal models ⋮ Positivity in varieties of maximal Albanese dimension ⋮ Derived invariance of the Albanese relative canonical ring ⋮ Numerical character of the effectivity of adjoint line bundles ⋮ Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension ⋮ On the bicanonical map of primitive varieties with \(q(X)=\dim X\): the degree and the Euler number ⋮ SEMISTABILITY OF RESTRICTED TANGENT BUNDLES AND A QUESTION OF I. BISWAS ⋮ Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun ⋮ Pushforwards of klt pairs under morphisms to abelian varieties ⋮ Cohomological support loci of varieties of Albanese fiber dimension one

Cites Work

• Higher direct images of dualizing sheaves. II
• On algebraic fiber spaces over varieties of maximal Albanese dimension.
• Deformations of the trivial line bundle and vanishing theorems
• Duality between D(X) and with its application to picard sheaves
• Pluricanonical maps of varieties of maximal Albanese dimension
• Unnamed Item

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