Primitive higher order embeddings of abelian surfaces
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- by Th. Bauer and T. Szemberg
- Trans. Amer. Math. Soc. 349 (1997), 1675-1683
- DOI: https://doi.org/10.1090/S0002-9947-97-01737-6
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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.References
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Bibliographic Information
- Th. Bauer
- Affiliation: Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße $1\frac 12$, 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
- 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 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 1675-1683
- MSC (1991): Primary 14E25; Secondary 14C20
- DOI: https://doi.org/10.1090/S0002-9947-97-01737-6
- MathSciNet review: 1376538