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Prym varieties, curves with automorphisms and the Sato Grassmannian

2002/07/23 by Esteban Gómez González, E. Gómez González, José M. Muñoz Porras +6
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons #math.AG #msc:14H37 #msc:14H40

paper · pdf · doi:10.48550/arxiv.math/0207202

32 pages. Final version to appear in Mathematische Annalen

arxiv created 2002/10/23 · arxiv updated 2016/08/16

Abstract

The aim of the paper is twofold. First, some results of Shiota and Plaza-Martin on Prym varieties of curves with an involution are generalized to the general case of an arbitrary automorphism of prime order. Second, the equations defining the moduli space of curves with an automorphism of prime order as a subscheme of the Sato Grassmannian are given.

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