Prym varieties and integrable systems [electronic resource].

Ksir, Amy Elizabeth.
36 p.
Local subjects:
Penn dissertations -- Mathematics. (search)
Mathematics -- Penn dissertations. (search)
System Details:
Mode of access: World Wide Web.
Given a Galois cover of curves pi : X → Y with any finite Galois group G whose representations are rational, we may consider the Prym variety Prym rho(X,Y) corresponding to any irreducible representation rho of G. In chapter two, we will compute the dimension of a Prym variety. In chapter three, we look at the decompositions into Prym varieties of the Jacobians of quotients of X, in the case where G is a Weyl group and the quotient is by a parabolic subgroup P. This corresponds to the decomposition into irreducible representations of the permutation representation IndGP1. We look for irreducible components which are common to the permutation representation of all parabolic subgroups of G, and find that for exceptional Weyl groups, there is an "extra" common irreducible component, which does not appear for classical Weyl groups.
Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 1999.
Source: Dissertation Abstracts International, Volume: 60-04, Section: B, page: 1640.
Adviser: Ron Donagi.
Local notes:
School code: 0175.
Donagi, Ron, advisor
University of Pennsylvania.
Contained In:
Dissertation Abstracts International 60-04B.
Access Restriction:
Restricted for use by site license.
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