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Galois orbits and equidistribution: towards the Andre-Oort conjecture

Ullmo, E; Yafaev, A; (2012) Galois orbits and equidistribution: towards the Andre-Oort conjecture.

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Abstract

In this paper we develop a strategy and some technical tools for proving the Andre-Oort conjecture. We give lower bounds for the degrees of Galois orbits of geometric components of special subvarieties of Shimura varieties, assuming the Generalised Riemann Hypothesis. We proceed to show that sequences of special subvarieties whose Galois orbits have bounded degrees are equidistributed in a suitable sense.

Type: Article
Title: Galois orbits and equidistribution: towards the Andre-Oort conjecture
Additional information: Submitted to Annals of Mathematics, Version of September 2013
Keywords: math.NT, math.NT
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/82940
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