Amy E. Ksir, "Dimensions of Prym varieties", International Journal of Mathematics and Mathematical Sciences, vol. 26, Article ID 561704, 10 pages, 2001. https://doi.org/10.1155/S016117120101153X
Dimensions of Prym varieties
Given a tame Galois branched cover of curves with any finite Galois group whose representations are rational, we compute the dimension of the (generalized) Prym variety corresponding to any irreducible representation of . 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.
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