PRYM VARIETIES AND THE INFINITE GRASSMANNIAN

Authors
Citation
Fjp. Martin, PRYM VARIETIES AND THE INFINITE GRASSMANNIAN, International journal of mathematics, 9(1), 1998, pp. 75-93
Citations number
28
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0129167X
Volume
9
Issue
1
Year of publication
1998
Pages
75 - 93
Database
ISI
SICI code
0129-167X(1998)9:1<75:PVATIG>2.0.ZU;2-C
Abstract
In this paper we study Prym varieties and their moduli space using the well-known techniques of the infinite Grassmannian. There are three m ain results of this paper: a new definition of the BKP hierarchy over an arbitrary base field (that generalizes the classical one over C); a characterization of Prym varieties in terms of dynamical systems, and explicit equations for the moduli space of (certain) Prym varieties. For all of these problems the language of the infinite Grassmannian, i n its algebro-geometric version, allows us to deal with these problems from the same point of view.