Primitive higher order embeddings of abelian surfaces

Author:

Bauer Th.,Szemberg T.

Abstract

In recent years several concepts of higher order embeddings have been studied: k k -spannedness, k k -very ampleness and k k -jet ampleness. In the present note we consider primitive line bundles on abelian surfaces and give numerical criteria which allow to check whether a given ample line bundle satisfies these properties.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

1. Projective surfaces with 𝑘-very ample line bundles of degree ≤4𝑘+4;Ballico, Edoardo;Nagoya Math. J.,1994

2. Abelian surfaces with (1,2)-polarization;Barth, Wolf,1987

3. Quartic surfaces with 16 skew conics;Bauer, Th.;J. Reine Angew. Math.,1995

4. Bauer, Th., Szemberg, T.: Higher order embeddings of abelian varieties. Math. Z. (to appear)

5. Zero cycles and 𝑘th order embeddings of smooth projective surfaces;Beltrametti, M.,1991

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