2000/07/26 by Amy E. Ksir · 1 citation
Mathematics · #math.AG #msc:14H40 #msc:14H70
published as Int. J. Math. Math. Sci. 26 (2001) no. 2, 107-116 · LaTeX, 9 pages, no figures. This work was part of my Ph.D. thesis at U. Penn
arxiv created 2000/07/26 · arxiv updated 2009/11/30
Given a tame Galois branched cover of curves pi: X -> Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety corresponding to any irreducible representation ρof 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.