Abstract
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.
Citation
J. M. Muñoz Porras. F. J. Plaza Martín. "Coverings with prescribed ramification and Virasoro groups." Kyoto J. Math. 50 (1) 51 - 73, Spring 2010. https://doi.org/10.1215/0023608X-2009-004
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