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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a family of special linear systems on algebraic curves
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by Edmond E. Griffin PDF
Proc. Amer. Math. Soc. 90 (1984), 355-359 Request permission

Abstract:

$\mathcal {W}_6^2$ is a scheme parametrizing pairs $L \to C$ of smooth algebraic curves $C$ of genus 10 together with line bundles $L$ of degree 6 such that ${H^0}\left ( {C,L} \right ) \geqslant 3$. It is shown that one of the irreducible components of this scheme is nonreduced at every point.
References
    E. Arbarello, M. Cornalba, P. A. Griffiths and J. Harris, Topics in the theory of algebraic curves, Princeton Univ. Press. (to appear). E. Griffin, Special fibers in families of plane curves, Ph. D. Thesis, Harvard Univ., 1982. —, The component structure of $\mathcal {W}_6^2$ (to appear).
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 355-359
  • MSC: Primary 14H15; Secondary 14D15, 14H40, 14H45
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0728347-0
  • MathSciNet review: 728347