Projective normality of abelian varieties

DOI10.1090/S0002-9947-03-03303-8zbMath1016.14024arXivmath/0101067OpenAlexW1781590513MaRDI QIDQ4806479

Jaya N. N. Iyer

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101067

zbMATH Keywords

abelian varietyembeddingsample line bundles

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25) Projective techniques in algebraic geometry (14N05) Algebraic theory of abelian varieties (14K05)

Related Items (7)

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 ⋮ Local positivity, multiplier ideals, and syzygies of abelian varieties ⋮ A remark on higher syzygies on abelian surfaces ⋮ Embedding theorems on hyperelliptic varieties ⋮ Cohomological rank functions and syzygies of abelian varieties

Cites Work

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• A note on the normal generation of ample line bundles on abelian varieties
• Projective normality of abelian surfaces given by primitive line bundles
• Duality between D(X) and with its application to picard sheaves
• Theta Relations and Projective Normality of Abelian Varieties
• Syzygies of abelian varieties

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