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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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Theta-characteristics on algebraic curves
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by Joe Harris PDF
Trans. Amer. Math. Soc. 271 (1982), 611-638 Request permission

Abstract:

The theory of theta-characteristics is developed algebraically, so that it may be applied to possibly singular and/or reducible algebraic curves. The configuration of theta-characteristics on a curve is described in terms of its singularities, with applications to the geometry of plane quartic curves and the problem of Appolonius. Some results on Gorenstein local rings are appended.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 271 (1982), 611-638
  • MSC: Primary 14H99; Secondary 14C20, 14K25
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0654853-6
  • MathSciNet review: 654853