Weierstrass weight and degenerations

Lax, R. F.

doi:10.1090/S0002-9939-1987-0897062-8

Weierstrass weight and degenerations
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by R. F. Lax PDF

Proc. Amer. Math. Soc. 101 (1987), 8-10 Request permission

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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