Transactions of the American Mathematical Society

Author(s): Th. Bauer; T. Szemberg
Journal: Trans. Amer. Math. Soc. 349 (1997), 1675-1683.
MSC (1991): Primary 14E25; Secondary 14C20
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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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Th. Bauer
Affiliation: Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße $1\frac12$, D-91054 Erlangen, Germany
Email: bauerth@mi.uni-erlangen.de

T. Szemberg
Affiliation: Instytut Matematyki, Uniwersytet Jagiellonski, Reymonta 4, PL-30-059 Kraków, Poland
Email: szemberg@im.uj.edu.pl

DOI: 10.1090/S0002-9947-97-01737-6
PII: S 0002-9947(97)01737-6
Received by editor(s): December 1, 1995
Additional Notes: The first author was supported by DFG contract Ba 423/7-1
The second author was partially supported by KBN grant P03A-061-08. The final version of this paper was written during the second author's stay in Erlangen, which was made possible by Europroj support.
Copyright of article: Copyright 1997, American Mathematical Society

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