Dimensions of Prym Varieties

@inproceedings{Ksir2001DimensionsOP,
  title={Dimensions of Prym Varieties},
  author={Amy Ksir},
  year={2001}
}
Given a tame Galois branched cover of curves π : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ 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. 2000… CONTINUE READING

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