Higher order embeddings of abelian varieties

DOI10.1007/PL00004591zbMath0897.14011OpenAlexW2074797353MaRDI QIDQ1358211

Tomasz Szemberg, Thomas Bauer

Publication date: 3 July 1997

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

Full work available at URL: https://doi.org/10.1007/pl00004591

zbMATH Keywords

abelian varietyample line bundles\(k\)-jet ample line bundle

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25) Algebraic theory of abelian varieties (14K05)

Related Items (11)

Cyclic coverings and higher order embeddings of algebraic varieties ⋮ On \(k\)-jet ampleness of line bundles on hyperelliptic surfaces ⋮ Generation of jets and Fujita's jet ampleness conjecture on toric varieties ⋮ M-regularity of ℚ-twisted sheaves and its application to linear systems on abelian varieties ⋮ On syzygies of projective bundles over abelian varieties ⋮ Theta functions of arbitrary order and their derivatives ⋮ Embedding theorems on hyperelliptic varieties ⋮ Regularity on abelian varieties II: Basic results on linear series and defining equations ⋮ On \(k\)-very ampleness of tensor products of ample line bundles on abelian surfaces ⋮ A note on tensor products of ample line bundles on abelian varieties ⋮ Primitive higher order embeddings of abelian surfaces

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