Doctoral Degrees (Mathematical Sciences)

Permanent URI for this collection

https://scholar.sun.ac.za/handle/10019.1/852

Browse

Browsing Doctoral Degrees (Mathematical Sciences) by Subject "Andre-Oort conjecture"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces
    (Stellenbosch : Stellenbosch University, 2013-03) Karumbidza, Archie; Breuer, Florian; Keet, A. P.; Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.
    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.