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An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces
Thesis (PhD)--Stellenbosch University, 2013.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2013
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| _version_ | 1867614021217157120 |
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| access_status_str | Open Access |
| author | Karumbidza, Archie |
| author2 | Breuer, Florian |
| author_browse | Breuer, Florian Karumbidza, Archie |
| author_facet | Breuer, Florian Karumbidza, Archie |
| author_sort | Karumbidza, Archie |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (PhD)--Stellenbosch University, 2013. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/80308 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:45:24.995Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/80308 An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces Karumbidza, Archie Breuer, Florian Keet, A. P. Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Andre-Oort conjecture Drinfeld modules Complex multiplication Dissertations -- Mathematics Theses -- Mathematics Number theory Drinfeld modular varieties 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. Doctoral 2013-02-25T10:07:31Z 2013-03-15T07:45:14Z 2013-02-25T10:07:31Z 2013-03-15T07:45:14Z 2013-03 Thesis http://hdl.handle.net/10019.1/80308 en_ZA Stellenbosch University 73 p. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Andre-Oort conjecture Drinfeld modules Complex multiplication Dissertations -- Mathematics Theses -- Mathematics Number theory Drinfeld modular varieties Karumbidza, Archie An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title | An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title_full | An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title_fullStr | An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title_full_unstemmed | An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title_short | An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces |
| title_sort | analogue of the andre oort conjecture for products of drinfeld modular surfaces |
| topic | Andre-Oort conjecture Drinfeld modules Complex multiplication Dissertations -- Mathematics Theses -- Mathematics Number theory Drinfeld modular varieties |
| url | http://hdl.handle.net/10019.1/80308 |
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