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Proceedings of the American Mathematical Society

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

 

 

Weierstrass weight and degenerations


Author: R. F. Lax
Journal: Proc. Amer. Math. Soc. 101 (1987), 8-10
MSC: Primary 14H15; Secondary 14F07, 14H20
DOI: https://doi.org/10.1090/S0002-9939-1987-0897062-8
MathSciNet review: 897062
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Abstract: It is shown that as a family of projective smooth curves degenerates to an irreducible Gorenstein curve the Weierstrass weight at a point $ P$ on the limit curve is the sum of the Weierstrass weights at points on the smooth curves converging to $ P$.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0897062-8
Keywords: Weierstrass point, Gorenstein curve
Article copyright: © Copyright 1987 American Mathematical Society