Coverings with prescribed ramification and Virasoro groups
Muñoz Porras, J. M. ; Plaza Martín, F. J.
Kyoto J. Math., Tome 50 (2010) no. 2, p. 51-73 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this article we study coverings with prescribed ramification from the point of view of the Sato Grassmannian and of the algebro-geometric theory of solitons. We show that the moduli space of such coverings, which is a Hurwitz scheme, is a subscheme of the Grassmannian. We give its equations and show that there is a Virasoro group that uniformizes it. We also characterize when a curve is a covering in terms of bilinear identities.
Publié le : 2010-05-15
Classification:  14H10,  35Q53,  58B99,  37K10 
@article{1271187738,
     author = {Mu\~noz Porras, J. M. and Plaza Mart\'\i n, F. J.},
     title = {Coverings with prescribed ramification and Virasoro groups},
     journal = {Kyoto J. Math.},
     volume = {50},
     number = {2},
     year = {2010},
     pages = { 51-73},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271187738}
}

Muñoz Porras, J. M.; Plaza Martín, F. J. Coverings with prescribed ramification and Virasoro groups. Kyoto J. Math., Tome 50 (2010) no. 2, pp.  51-73. http://gdmltest.u-ga.fr/item/1271187738/