The monodromy of Weierstrass points |
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Authors: | David Eisenbud Joe Harris |
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Institution: | (1) Brandeis University, 02254 Waltham, MA, USA;(2) Brown University, 02912 Providence, RI, USA |
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Abstract: | Summary We show that the monodromy of the family of curves (Riemann surfaces) acts as the full symmetric group on the Weierstrass points of a general curve. The proof uses a degeneration to certain reducible curves, and the theory of limit series developed in our (1986, 1987a, b). Some of the monodromy is actually constructed by fixing a (reducible) curve and varying its canonical series.Both authors are grateful to the National Science Foundation for partial support during the preparation of this work |
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