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arxiv: math/0207202 · v2 · pith:SHJKITTJnew · submitted 2002-07-23 · 🧮 math.AG

Prym varieties, curves with automorphisms and the Sato Grassmannian

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keywords curvesautomorphismgrassmannianorderprimeprymsatovarieties
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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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