Endomorphism rings of hyperelliptic Jacobians

Kriel, Marelize (2005-03)

Thesis (MSc (Mathematics))--University of Stellenbosch, 2005.


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.

Please refer to this item in SUNScholar by using the following persistent URL: http://hdl.handle.net/10019.1/2874
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