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Primitive higher order embeddings of abelian surfaces
Authors:Th. Bauer   T. Szemberg
Affiliation:Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße $1frac12$, D-91054 Erlangen, Germany ; Instytut Matematyki, Uniwersytet Jagiellonski, Reymonta 4, PL-30-059 Kraków, Poland
Abstract:In recent years several concepts of higher order embeddings have been studied: $k$-spannedness, $k$-very ampleness and $k$-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.

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