AN EFFECTIVE VERSION OF A THEOREM OF KAWAMATA ON THE ALBANESE MAP

DOI10.1142/S0219199711004397zbMath1311.14015arXiv0909.3973MaRDI QIDQ3013900

Zhi Jiang

Publication date: 19 July 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3973

zbMATH Keywords

Albanese mapplurigeneravanishing theoremsmultiplier ideal

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Rational and birational maps (14E05)

Related Items

Irregular varieties with geometric genus one, theta divisors, and fake tori ⋮ Generic finiteness of 3-canonical maps of varieties of Albanese fiber dimension one ⋮ On varieties of maximal Albanese dimension ⋮ On 3-canonical maps of varieties of Albanese fiber dimension one ⋮ 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 ⋮ Chen-Jiang decompositions for projective varieties, without Hodge modules ⋮ Hodge modules on complex tori and generic vanishing for compact Kähler manifolds

Cites Work

• Higher direct images of dualizing sheaves. II
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• Shafarevich maps and plurigenera of algebraic varieties
• Duality between D(X) and with its application to picard sheaves
• Varieties with P₃ = 3 and q = dim(X)
• Singularities of theta divisors and the birational geometry of irregular varieties
• Characterization of abelian varieties
• Pluricanonical maps of varieties of maximal Albanese dimension