Local positivity, multiplier ideals, and syzygies of abelian varieties

DOI10.2140/ant.2011.5.185zbMath1239.14035arXiv1003.4470OpenAlexW1972738021MaRDI QIDQ646481

Giuseppe Pareschi, Robert Lazarsfeld, Mihnea Popa

Publication date: 17 November 2011

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4470

zbMATH Keywords

abelian varietiessyzygiesmultiplier idealsSeshadri constantlocal positivity

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Syzygies, resolutions, complexes and commutative rings (13D02) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Algebraic theory of abelian varieties (14K05)

Related Items (10)

\(S_n\)-equivariant sheaves and Koszul cohomology ⋮ Higher syzygies on general polarized Abelian varieties of type (1,⋯,1,d)$(1,\dots ,1,d)$ ⋮ Projective normality and basepoint‐freeness thresholds of general polarized abelian varieties ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ A remark on higher syzygies on abelian surfaces ⋮ Syzygies of compact complex hyperbolic manifolds ⋮ On the vanishing of weight one Koszul cohomology of abelian varieties ⋮ The basepoint-freeness threshold and syzygies of abelian varieties ⋮ Cohomological rank functions and syzygies of abelian varieties ⋮ Seshadri constants on principally polarized abelian surfaces with real multiplication

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