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Proceedings of the American Mathematical Society

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



Multiples of Weierstrass points as special divisors

Author: R. F. Lax
Journal: Proc. Amer. Math. Soc. 82 (1981), 95-98
MSC: Primary 32G15; Secondary 14H15
MathSciNet review: 603608
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Abstract: Complex spacss $ \mathcal{W}_n^r$ of Weierstrass points are isomorphic to the intersection, on the $ n$th symmetric product of the universal curve over the Teichmüller space, of complex spaces $ \mathcal{G}_n^r$ of special divisors with the diagonal $ {\Delta _n}$ consisting of divisors which are multiples of a point. The tangent space at a point of this intersection is described and it is shown that $ \mathcal{G}_n^1 - \mathcal{G}_n^2$ and $ {\Delta _n}$ intersect transversally.

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Keywords: Complex space, Weierstrass point, special divisor, Teichmüller space, universal curve
Article copyright: © Copyright 1981 American Mathematical Society

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