LINEAR SYSTEMS ON IRREGULAR VARIETIES

DOI10.1017/S1474748019000069zbMath1452.14005arXiv1606.03290OpenAlexW2411875838MaRDI QIDQ5140584

Miguel Ángel Barja, Rita Pardini, Lidia Stoppino

Publication date: 16 December 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03290

zbMATH Keywords

irregular varietyvariety of maximal Albanese dimensionClifford-Severi inequalitiescontinuous rank functioneventual map

Mathematics Subject Classification ID

(4)-folds (14J35) (3)-folds (14J30) Surfaces of general type (14J29) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)

Related Items

Slope inequalities for fibrations of non-maximal Albanese dimension ⋮ Relative Severi inequality for fibrations of maximal Albanese dimension over curves ⋮ Noether-Severi inequality and equality for irregular threefolds of general type ⋮ Chern degree functions ⋮ Angehrn-Siu-Helmke’s method applied to abelian varieties ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ On Severi type inequalities ⋮ The basepoint-freeness threshold of a very general abelian surface ⋮ Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles ⋮ Fibered varieties over curves with low slope and sharp bounds in dimension three ⋮ Derived equivalence and fibrations over curves and surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Surfaces on the Severi line
• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• M-regularity and the Fourier-Mukai transform
• Fibered algebraic surfaces with low slope
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• The Severi inequality \(K^2 \geq 4\chi\) for surfaces of maximal Albanese dimension
• On the birational automorphisms of varieties of general type
• Generalized Clifford-Severi inequality and the volume of irregular varieties
• Some results on deformations of sections of vector bundles
• Generic vanishing and minimal cohomology classes on abelian varieties
• Severi inequality for varieties of maximal Albanese dimension
• GV-sheaves, Fourier-Mukai transform, and generic vanishing
• Regularity on abelian varieties III: relationship with Generic Vanishing and applications
• On coverings of simple abelian varieties
• The 5-canonical system on 3-folds of general type
• Differentiability of volumes of divisors and a problem of Teissier
• Restricted volumes and base loci of linear series
• Convex bodies associated to linear series
• Surfaces of Albanese general type and the Severi conjecture
• Higher-dimensional Clifford–Severi equalities
• The eventual paracanonical map of a variety of maximal Albanese dimension
• On Severi Type Inequalities for Irregular Surfaces
• Singularities of theta divisors and the birational geometry of irregular varieties
• Abelian covers of algebraic varieties.
• La serie canonica e la teoria delle serie principali di gruppi di punti sopra una superficie algebrica