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Equations of Hurwitz schemes in the infinite Grassmannian
Author(s) -
Muñoz Porras José M.,
Plaza Martín Francisco J.
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510655
Subject(s) - grassmannian , mathematics , computation , soliton , pure mathematics , series (stratigraphy) , mathematical analysis , algebra over a field , nonlinear system , algorithm , physics , quantum mechanics , biology , paleontology
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)