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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Divisors on symmetric products of curves
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by Alexis Kouvidakis
Trans. Amer. Math. Soc. 337 (1993), 117-128
DOI: https://doi.org/10.1090/S0002-9947-1993-1149124-5
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Abstract:

For a curve with general moduli, the Neron-Severi group of its symmetric products is generated by the classes of two divisors $x$ and $\theta$. In this paper we give bounds for the cones of effective and ample divisors in the $x\theta$-plane.
References
    E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris, Geometry of algebraic curves. I, Springer, 1985.
  • Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 337 (1993), 117-128
  • MSC: Primary 14H40; Secondary 14C20, 14H35
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1149124-5
  • MathSciNet review: 1149124