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Transactions of the American Mathematical Society

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

 

 

Theta-characteristics on algebraic curves


Author: Joe Harris
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
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0654853-6
Article copyright: © Copyright 1982 American Mathematical Society