1997/06/24 by Francisco J. Plaza Martín, Martín, Francisco J. Plaza
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9706009
21 pages, Latex, To apper in Internation Journal of Mathematics
arxiv created 1997/06/24 · openalex publication_date 1997/06/24 · arxiv updated 2016/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study Prym varieties and their moduli space using the well known techniques of the infinite Grassmannian. There are three main results of this paper: a new definition of the BKP hierarchy over an arbitrary base field (that generalizes the classical one over the complex numbers; 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, in its algebro-geometric version, allows us to deal with these problems from the same point of view.