Representations of fundamental groups of abelian varieties in characteristic p / Frankel, Brett.

Format:

Book

Thesis/Dissertation

Author/Creator:

Frankel, Brett, author.

Contributor:

Chinburg, Ted, 1954- degree supervisor.

Harbater, David, degree committee member.

Haglund, James, degree committee member.

University of Pennsylvania. Mathematics, degree granting institution.

Language:

English

Subjects (All):

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Local Subjects:

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Genre:

Academic theses.

Physical Description:

1 online resource (37 pages)

Contained In:

Dissertation Abstracts International 77-12B(E).

Place of Publication:

[Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2016.

Language Note:

English

System Details:

Mode of access: World Wide Web.

text file

Summary:

Let Ag be an abelian variety of dimension g and p-rank lambda ≤ 1 over an algebraically closed field of characteristic p > 0 . We compute the number of homomorphisms from pi1et(A g) to GLn(Fq), where q is any power of p. We show that for fixed g, lambda, and n, the number of such representations is polynomial in q. We show that the set of such homomorphisms forms a constructable set, and use the geometry of this space to deduce information about the coefficients and degree of the polynomial. In the last chapter we prove a divisibility theorem about the number of homomorphisms from certain semidirect products of profinite groups into finite groups. (Abstract shortened by ProQuest.).

Notes:

Source: Dissertation Abstracts International, Volume: 77-12(E), Section: B.

Advisors: Ted Chinburg; Committee members: James Haglund; David Harbater.

Department: Mathematics.

Ph.D. University of Pennsylvania 2016.

Local Notes:

School code: 0175

ISBN:

9781339928777

Access Restriction:

Restricted for use by site license.