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A new case of the Zilber-Pink conjecture

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Youell, Z. (2023) A new case of the Zilber-Pink conjecture. PhD thesis, University of Reading. doi: 10.48683/1926.00128777

Abstract/Summary

In this thesis we study the Zilber-Pink Conjecture, a statement regarding special subvarieties of Shimura varieties. In particular we prove some new cases of the Zilber-Pink conjecture for curves inside the Shimura variety H × Y (1) × Y (1), where H is a Hilbert modular surface. We adapt a method developed by Daw and Ren as well as proving a bound on the size of Galois orbits of certain types of special subvariety. Prior to this we give some relevant background on Shimura varieties to help better understand the later proofs.

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Item Type Thesis (PhD)
URI https://centaur.reading.ac.uk/id/eprint/128777
Identification Number/DOI 10.48683/1926.00128777
Divisions Science > School of Mathematical, Physical and Computational Sciences
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
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