Equations of Hurwitz schemes in the infinite Grassmannian

Equations of Hurwitz schemes in the infinite Grassmannian

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 e...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2008-07, Vol.281 (7), p.989-1012
Hauptverfasser: Muñoz Porras, José M., Plaza Martín, Francisco J.
Format: Artikel
Sprache:eng
Schlagworte:
Hurwitz schemes
Infinite Grassmannians
KP hierarchies
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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)
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.200510655