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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Primitive higher order embeddings of abelian surfaces
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by Th. Bauer and T. Szemberg PDF
Trans. Amer. Math. Soc. 349 (1997), 1675-1683 Request permission

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 $1\frac 12$, 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