An unconditional proof of the Andre-Oort conjecture for Hilbert modular surfaces

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Yafaev, A. (2011) An unconditional proof of the Andre-Oort conjecture for Hilbert modular surfaces. Manuscripta Mathematica, 135 (1). pp. 263-271. ISSN 0025-2611 doi: 10.1007/s00229-011-0445-x

Abstract/Summary

We give an unconditional proof of the André–Oort conjecture for Hilbert modular surfaces asserting that an algebraic curve contained in such a surface and containing an infinite set of special points, is special. The proof relies on a combination of Galois-theoretic techniques and results from the theory of o-minimal structures.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/70355
Identification Number/DOI	10.1007/s00229-011-0445-x
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer-Verlag
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