32 citations · 67 across the 17 of their papers we have counts for
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Mumford-Tate and Generalised Shafarevich conjectures
Emmanuel Ullmo, Andrei Yafaev
In this paper we formulate generalised Isogeny, Mumford-Tate and Shafarevich conjectures and prove that they are equivalent.
Hyperbolic Ax-Lindemann theorem in the cocompact case
Emmanuel Ullmo, Andrei Yafaev
We prove an analogue of the classical Ax-Lindemann theorem in the context of compact Shimura varieties. Our work is motivated by J. Pila's strategy for proving the André-Oort conje…
The Andre-Oort conjecture
Bruno Klingler, Andrei Yafaev
In this paper we prove, assuming the Generalized Riemann Hypothesis, the Andr?e-Oort conjecture on the Zariski closure of sets of special points in a Shimura variety. In the case o…
Galois orbits and equidistribution: towards the Andre-Oort conjecture
Emmanuel Ullmo, Andrei Yafaev
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…