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arXiv:math/0207091 [math.AG]AbstractReferencesReviewsResources

Equations of Hurwitz Schemes in the Infinite Grassmannian

José M. Muñoz Porras, Francisco J. Plaza Martín

Published 2002-07-11, updated 2004-08-27Version 3

The main result proved in the paper is the computation of the explicit equations defining the Hurwitz schemes of coverings with punctures as subschemes of the Sato infinite Grassmannian. As an application, we characterize the existence of certain linear series on a smooth curve in terms of soliton equations.

Comments: 33 pages. An incomplete reference has been fixed
Categories: math.AG
Subjects: 14H10, 35Q53
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