Very ample linear systems on abelian varieties

DOI10.1007/BF01450483zbMath0806.14031arXivalg-geom/9306004MaRDI QIDQ1340907

Klaus Hulek, Olivier Debarre, Jeroen G. Spandaw

Publication date: 21 December 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9306004

zbMATH Keywords

polarizationvery ample linear systemcomplex abelian variety

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Algebraic theory of abelian varieties (14K05)

Related Items (14)

Cyclic coverings and higher order embeddings of algebraic varieties ⋮ Linear systems on quasi-abelian varieties ⋮ On the degree of algebraic cycles on hypersurfaces ⋮ M-regularity of ℚ-twisted sheaves and its application to linear systems on abelian varieties ⋮ 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 ⋮ A note on the global generation of primitive line bundles on abelian varieties ⋮ Linear systems on abelian varieties of dimension 2𝑔+1 ⋮ A note on abelian varieties embedded in quadrics ⋮ Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach ⋮ Canonical maps of general hypersurfaces in abelian varieties ⋮ ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD ⋮ Primitive higher order embeddings of abelian surfaces ⋮ Cohomological rank functions and syzygies of abelian varieties

Cites Work

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• On the equations defining Abelian varieties. I-III
• Global Generation of Pluricanonical and Adjoint Linear Series on Smooth Projective Threefolds
• Transplanting Cohomology Classes in Complex-Projective Space
• Effective base point freeness

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