Dimensions of Prym varieties

Amy E. Ksir

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-10

Abstract:

Given a tame Galois branched cover of curves Ï€ : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prym Ï ( X ) corresponding to any irreducible representation Ï of G . This formula can be applied to the study of algebraic integrable systems using Lax pairs, in particular systems associated with Seiberg-Witten theory. However, the formula is much more general and its computation and proof are entirely algebraic.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:561704

DOI: 10.1155/S016117120101153X

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