Generalized Clifford-Severi inequality and the volume of irregular varieties

DOI10.1215/00127094-2871306zbMath1409.14013arXiv1303.3045OpenAlexW2091053862MaRDI QIDQ2339643

Miguel Ángel Barja

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1303.3045

zbMATH Keywords

nef line bundleSeveri inequalitycontinuous systemirregular variety

Mathematics Subject Classification ID

(4)-folds (14J35) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) (3)-folds (14J30) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Divisors, linear systems, invertible sheaves (14C20)

Related Items (15)

Surfaces on the Severi line ⋮ Slope inequalities for fibrations of non-maximal Albanese dimension ⋮ Some results on deformations of sections of vector bundles ⋮ Relative Severi inequality for fibrations of maximal Albanese dimension over curves ⋮ Noether-Severi inequality and equality for irregular threefolds of general type ⋮ Surfaces on the Severi line in positive characteristic ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ On the Hopf problem and a conjecture of Liu-Maxim-Wang ⋮ Higher-dimensional Clifford–Severi equalities ⋮ On Severi type inequalities ⋮ LINEAR SYSTEMS ON IRREGULAR VARIETIES ⋮ Automorphisms of threefolds of general type acting trivially in cohomology ⋮ Severi inequality for varieties of maximal Albanese dimension ⋮ Fibered varieties over curves with low slope and sharp bounds in dimension three ⋮ Relative Clifford inequality for varieties fibered by curves

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