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.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/80308 |
| Date | 03 1900 |
| Creators | Karumbidza, Archie |
| Contributors | Breuer, Florian, Keet, A. P., Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. |
| Publisher | Stellenbosch : Stellenbosch University |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | English |
| Type | Thesis |
| Format | 73 p. |
| Rights | Stellenbosch University |
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