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Dimensions of Prym varieties

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  • Amy E. Ksir

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.

Suggested Citation

  • Amy E. Ksir, 2001. "Dimensions of Prym varieties," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:561704
    DOI: 10.1155/S016117120101153X
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