Abstract
We consider a number of Diophantine problems for (mixed) Shimura varieties. Specifically, we look at the multiplicative relations satisfied by special points of modular and Shimura curves. These problems are closely related to the André--Oort and Zilber--Pink conjectures, and we will resolve some special cases of these conjectures.
Original language | English |
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Qualification | Doctor of Philosophy |
Awarding Institution |
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Award date | 6 Jul 2021 |
Publication status | Published - 13 Jul 2021 |
Keywords
- André-Oort conjecture
- Zilber-Pink conjecture