Endomorphism rings of hyperelliptic Jacobians

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dc.contributor.advisorGreen, B. W.
dc.contributor.authorKriel, Marelize
dc.contributor.otherUniversity of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences.
dc.date.accessioned2008-07-16T09:30:01Zen_ZA
dc.date.accessioned2010-06-01T09:00:36Z
dc.date.available2008-07-16T09:30:01Zen_ZA
dc.date.available2010-06-01T09:00:36Z
dc.date.issued2005-03
dc.descriptionThesis (MSc (Mathematics))--University of Stellenbosch, 2005.
dc.description.abstractThe 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.en
dc.identifier.urihttp://hdl.handle.net/10019.1/2874
dc.language.isoen
dc.publisherStellenbosch : University of Stellenbosch
dc.rights.holderUniversity of Stellenbosch
dc.subjectDissertations -- Mathematicsen
dc.subjectTheses -- Mathematicsen
dc.subjectAssociative algebrasen
dc.subjectEndomorphism ringsen
dc.subjectJacobiansen
dc.subjectAbelian varietiesen
dc.titleEndomorphism rings of hyperelliptic Jacobiansen
dc.typeThesis
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