dimensions of prym varieties
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ID: 243246
2001
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Abstract
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.
| Reference Key |
ksir2001internationaldimensions
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|---|---|
| Authors | ;Amy E. Ksir |
| Journal | structural engineering and mechanics |
| Year | 2001 |
| DOI |
10.1155/S016117120101153X
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| URL | |
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