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Proceedings of the American Mathematical Society

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

 

 

Deformations of exceptional Weierstrass points


Author: Steven Diaz
Journal: Proc. Amer. Math. Soc. 96 (1986), 7-10
MSC: Primary 14H15; Secondary 14F07, 32G15
MathSciNet review: 813798
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Abstract: Using first order deformation theory of pointed curves we show that the semigroup of a generic Weierstrass point whose semigroup has first nonzero element $ k$ consists only of multiples of $ k$ until after its greatest gap value, and that on the moduli space of curves two components of the divisor of points corresponding to curves possessing exceptional Weierstrass points intersect nontransversely.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813798-8
Article copyright: © Copyright 1986 American Mathematical Society