Prym varieties, curves with automorphisms and the Sato Grassmannian

Details Prym varieties, curves with automorphisms and the Sato Grassmannian Prym varieties, curves with automorphisms and the Sato Grassmannian

2002-07-23

arxiv.org/abs/math/0207202v2

Mathematics

Algebraic Geometry

32 pages. Final version to appear in Mathematische Annalen

Scientific paper

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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