Dimensions of Prym Varieties

dc.creatorKsir, Amy E.
dc.date2000-07-26
dc.date.accessioned2026-07-07T04:36:32Z
dc.date.available2026-07-07T04:36:32Z
dc.descriptionGiven 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.
dc.descriptionLaTeX, 9 pages, no figures. This work was part of my Ph.D. thesis at U. Penn
dc.identifierhttps://arxiv.org/abs/math/0007164
dc.identifierhttp://arxiv.org/abs/math/0007164
dc.identifierInt. J. Math. Math. Sci. 26 (2001) no. 2, 107-116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59628
dc.subjectAlgebraic Geometry
dc.subject14H40, 14H70
dc.titleDimensions of Prym Varieties
dc.typetext

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