Limit canonical systems on curves with two components

Details Limit canonical systems on curves with two components Limit canonical systems on curves with two components

2000-08-15

arxiv.org/abs/math/0008108v1

Mathematics

Algebraic Geometry

52 pages, 5 figures, LaTeX file

Scientific paper

In the 80's D. Eisenbud and J. Harris considered the following problem: ``What are the limits of Weierstrass points in families of curves degenerating to stable curves?'' But for the case of stable curves of compact type, treated by them, this problem remained wide open since then. In the present article, we propose a concrete approach to this problem, and give a quite explicit solution for stable curves with just two irreducible components meeting at points in general position.

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