On the bicanonical map of irregular varieties

DOI10.1090/S1056-3911-2011-00565-1zbMath1245.14007arXiv0907.4363MaRDI QIDQ2894541

Martí Lahoz, Miguel Ángel Barja, Giuseppe Pareschi, Juan Carlos Naranjo

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4363

zbMATH Keywords

pluricanonical mapmaximal Albanese dimensionvariety of general type

Mathematics Subject Classification ID

Rational and birational maps (14E05) Divisors, linear systems, invertible sheaves (14C20)

Related Items (9)

A note on the linear systems on the projective bundles over Abelian varieties ⋮ Characterization of products of theta divisors ⋮ Generic vanishing index and the birationality of the bicanonical map of irregular varieties ⋮ Generic finiteness of 3-canonical maps of varieties of Albanese fiber dimension one ⋮ On the tetracanonical map of varieties of general type and maximal Albanese dimension ⋮ On 3-canonical maps of varieties of Albanese fiber dimension one ⋮ On the bicanonical map of primitive varieties with \(q(X)=\dim X\): the degree and the Euler number ⋮ Generalized Clifford-Severi inequality and the volume of irregular varieties ⋮ Automorphisms of surfaces of general type with acting trivially in cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong generic vanishing and a higher-dimensional Castelnuovo-de Franchis inequality
• Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds
• Semi-homogeneous vector bundles on an abelian variety
• Higher direct images of dualizing sheaves. II
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• Complex abelian varieties and theta functions
• GV-sheaves, Fourier-Mukai transform, and generic vanishing
• On surfaces with p_g=q=2 and non-birational bicanonical maps
• Duality between D(X) and with its application to picard sheaves
• On the classification of irregular surfaces of general type with nonbirational bicanonical map
• Regularity on abelian varieties II: Basic results on linear series and defining equations
• On the birational geometry of varieties of maximal Albanese dimension
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• Regularity on abelian varieties I
• A derived category approach to generic vanishing
• Singularities of theta divisors and the birational geometry of irregular varieties

This page was built for publication: On the bicanonical map of irregular varieties