Franklin

Stratifications on moduli spaces of abelian varieties in positive characteristic [electronic resource].

Author/Creator:
Achter, Jeffrey Daniel.
Format/Description:
Book
41 p.
Contained In:
Dissertation Abstracts International 59-04B.

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Subjects:
Mathematics.
Local subjects:
Penn dissertations -- Mathematics. (search)
Mathematics -- Penn dissertations. (search)
System Details:
Mode of access: World Wide Web.
Summary:
Over a field of positive characteristic p, we consider moduli spaces of polarized abelian varieties equipped with an action by a ring unramified at p. Using deformation theory, we show that ordinary points are dense in each of the following situations: the polarization is separable; the polarization is mildly inseparable, and the ring of endomorphisms is a totally real number field; or the polarization is arbitrary, and the ring is a real quadratic field acting on abelian fourfolds. We introduce a new invariant which measures the extent to which a polarized Dieudonne module admits an isotropic splitting lifting the Hodge filtration, and use it to explain the singularities arising from mildly inseparable polarizations.
Notes:
Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 1998.
Source: Dissertation Abstracts International, Volume: 59-04, Section: B, page: 1677.
Supervisor: Ching-Li Chai.
Local notes:
School code: 0175.
Contributor:
Chai, Ching-Li, advisor
University of Pennsylvania.
ISBN:
9780591826913
Access Restriction:
Restricted for use by site license.