Endomorphism rings of hyperelliptic Jacobians
Date
2005-03
Authors
Kriel, Marelize
Journal Title
Journal ISSN
Volume Title
Publisher
Stellenbosch : University of Stellenbosch
Abstract
The aim of this thesis is to study the unital subrings contained in associative algebras arising
as the endomorphism algebras of hyperelliptic Jacobians over finite fields.
In the first part we study associative algebras with special emphasis on maximal orders. In
the second part we introduce the theory of abelian varieties over finite fields and study the
ideal structures of their endomorphism rings.
Finally we specialize to hyperelliptic Jacobians and study their endomorphism rings.
Description
Thesis (MSc (Mathematics))--University of Stellenbosch, 2005.
Keywords
Dissertations -- Mathematics, Theses -- Mathematics, Associative algebras, Endomorphism rings, Jacobians, Abelian varieties