An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces

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dc.contributor.advisorBreuer, Florianen_ZA
dc.contributor.advisorKeet, A. P.en_ZA
dc.contributor.authorKarumbidza, Archieen_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.en_ZA
dc.date.accessioned2013-02-25T10:07:31Zen_ZA
dc.date.accessioned2013-03-15T07:45:14Z
dc.date.available2013-02-25T10:07:31Zen_ZA
dc.date.available2013-03-15T07:45:14Z
dc.date.issued2013-03en_ZA
dc.descriptionThesis (PhD)--Stellenbosch University, 2013.en_ZA
dc.description.abstractENGLISH ABSTRACT: This thesis deals with a function eld analog of the André-Oort conjecture. The (classical) André-Oort conjecture concerns the distribution of special points on Shimura varieties. In our case we consider the André-Oort conjecture for special points in the product of Drinfeld modular varieties. We in particular manage to prove the André- Oort conjecture for subvarieties in a product of two Drinfeld modular surfaces under a characteristic assumption.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Hierdie tesis handel van 'n funksieliggaam analoog van die André-Oort Vermoeding. Die (Klassieke) André-Oort Vermoeding het betrekking tot die verspreiding van spesiale punte op Shimura varietiete. Ons geval beskou ons die André-Oort Vermoeding vir spesiale punte op die produk Drinfeldse modulvarietiete. In die besonders, bewys ons die André-Oort Vermoeding vir ondervarieteite van 'n produk van twee Drinfeldse modulvarietiete, onderhewig aan 'n karakteristiek-aanname.af_ZA
dc.format.extent73 p.
dc.identifier.urihttp://hdl.handle.net/10019.1/80308
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectAndre-Oort conjectureen_ZA
dc.subjectDrinfeld modulesen_ZA
dc.subjectComplex multiplicationen_ZA
dc.subjectDissertations -- Mathematicsen_ZA
dc.subjectTheses -- Mathematicsen_ZA
dc.subjectNumber theoryen_ZA
dc.subjectDrinfeld modular varietiesen_ZA
dc.titleAn analogue of the Andre-Oort conjecture for products of Drinfeld modular surfacesen_ZA
dc.typeThesisen_ZA
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