A Reider-type theorem for higher syzygies on abelian surfaces

DOI10.14231/AG-2019-025zbMath1444.14019arXiv1509.08621OpenAlexW2971668160MaRDI QIDQ5204039

Victor Lozovanu, Alex Küronya

Publication date: 9 December 2019

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

Full work available at URL: https://arxiv.org/abs/1509.08621

zbMATH Keywords

abelian varietiesKoszul ringsNewton-Okounkov bodiesconstruction of singular divisorssyzygies of line bundles

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Syzygies, resolutions, complexes and commutative rings (13D02) Convex sets in (2) dimensions (including convex curves) (52A10) Divisors, linear systems, invertible sheaves (14C20) Bundle convexity (32L15)

Related Items (7)

Higher syzygies on general polarized Abelian varieties of type (1,⋯,1,d)$(1,\dots ,1,d)$ ⋮ Continuous CM-regularity of semihomogeneous vector bundles ⋮ Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022 ⋮ Positivity of line bundles on general blow-ups of abelian surfaces ⋮ The basepoint-freeness threshold and syzygies of abelian varieties ⋮ Higher syzygies of surfaces with numerically trivial canonical bundle ⋮ Seshadri constants on principally polarized abelian surfaces with real multiplication

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