Dimensions of Prym varieties
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 inte...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120101153X |
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| _version_ | 1850165492886536192 |
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| author | Amy E. Ksir |
| author_facet | Amy E. Ksir |
| author_sort | Amy E. Ksir |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f37fb6a7bcf0443b9e2ef920e28bcf81 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f37fb6a7bcf0443b9e2ef920e28bcf812025-08-20T02:21:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126210711610.1155/S016117120101153XDimensions of Prym varietiesAmy E. Ksir0Mathematics Department, State University of New York at Stony Brook, Stony Brook, NY 11794, USAGiven 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.http://dx.doi.org/10.1155/S016117120101153X |
| spellingShingle | Amy E. Ksir Dimensions of Prym varieties International Journal of Mathematics and Mathematical Sciences |
| title | Dimensions of Prym varieties |
| title_full | Dimensions of Prym varieties |
| title_fullStr | Dimensions of Prym varieties |
| title_full_unstemmed | Dimensions of Prym varieties |
| title_short | Dimensions of Prym varieties |
| title_sort | dimensions of prym varieties |
| url | http://dx.doi.org/10.1155/S016117120101153X |
| work_keys_str_mv | AT amyeksir dimensionsofprymvarieties |