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

Thesis (PhD)--Stellenbosch University, 2013. / ENGLISH 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. / AFRIKAANSE 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.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/80308
Date03 1900
CreatorsKarumbidza, Archie
ContributorsBreuer, Florian, Keet, A. P., Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.
PublisherStellenbosch : Stellenbosch University
Source SetsSouth African National ETD Portal
Languageen_ZA
Detected LanguageEnglish
TypeThesis
Format73 p.
RightsStellenbosch University

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