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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Primitive higher order embeddings
of abelian surfaces


Authors: Th. Bauer and T. Szemberg
Journal: Trans. Amer. Math. Soc. 349 (1997), 1675-1683
MSC (1991): Primary 14E25; Secondary 14C20
MathSciNet review: 1376538
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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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Additional Information

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 Jagielloński, Reymonta 4, PL-30-059 Kraków, Poland
Email: szemberg@im.uj.edu.pl

DOI: http://dx.doi.org/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.
Article copyright: © Copyright 1997 American Mathematical Society