Dimensions of Prym Varieties

  title={Dimensions of Prym Varieties},
  author={Amy Ksir},
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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Publications referenced by this paper.
Showing 1-10 of 14 references

Decomposition of spectral covers

  • R. Donagi
  • Asterisque
  • 1993
Highly Influential
3 Excerpts

Aspinwall,Aspects of the hypermultiplet moduli space in string duality

  • P S.
  • J. High Energy Phys. (1998),
  • 1998
1 Excerpt

Zhmud′, Characters of Finite Groups

  • E.M.Y.G. Berkovich
  • Part 1, translations of Mathematical Monographs,
  • 1998

A Lietheoretic Galois theory for the spectral curves of an integrable system . II

  • J.-Y. Merindol
  • Trans . Amer . Math . Soc .
  • 1997

Donagi, Seiberg-Witten integrable systems, Algebraic Geometry—Santa Cruz 1995 (Rhode Island)

  • R Y.
  • Proc. Sympos. Pure Math. Part 2,
  • 1997
1 Excerpt

Varietes de Prym d’un revetement galoisien [Prym varieties of a Galois covering

  • J.-Y. Merindol
  • J. Reine Angew. Math
  • 1995
1 Excerpt

Spectral curves and integrable systems

  • E. Markman
  • Compositio Math
  • 1994
2 Excerpts

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