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Equations of Hurwitz schemes in the infinite Grassmannian

✍ Scribed by José M. Muñoz Porras; Francisco J. Plaza Martín


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
304 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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