Zobrazeno 1 - 10
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pro vyhledávání: '"Emmanuel Ullmo"'
A characterization of subvarieties of Shimura varieties which contain a Zariski dense subset of weakly special subvarieties has been proved by the second author, by combining o-minimality results and functional transcendence results. In this paper, w
Externí odkaz:
http://arxiv.org/abs/2104.04439
Publikováno v:
Mathematische Annalen. 386:987-1016
In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an application, we explain some consequences for the distribution of weakly speci
Publikováno v:
Expositiones Mathematicae.
Publikováno v:
Notices of the American Mathematical Society. 70:1
Autor:
Andrei Yafaev, Emmanuel Ullmo
Publikováno v:
The Quarterly Journal of Mathematics. 68:359-367
Let $A$ be an abelian variety over ${\bf C}$ of dimension $n$ and $\pi\colon {\bf C}^n \rightarrow A$ be the complex uniformisation. Let $X$ be an unbounded subset of ${\bf C}^n$ definable in a suitable o-minimal structure. We give a description of t
Autor:
Emmanuel Ullmo, Andrei Yafaev
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2018:47-66
Let A be an abelian variety. The abelian Ax–Lindemann theorem shows that the Zariski closure of an algebraic flow in A is a translate of an abelian subvariety of A. The paper discusses some conjectures on the usual topological closure of an algebra
We conjecture that the set of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space $S=\Gamma\backslash G/K$ is compact. More precisely, given a sequence of homogeneous probability measures o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9e01b970624641a1d91d41fb81a5546
Autor:
Emmanuel Ullmo, Andrei Yafaev
Publikováno v:
Bulletin de la Société mathématique de France. 143:197-228
Autor:
Emmanuel Ullmo, Andrei Yafaev
Publikováno v:
Annals of Mathematics. 180:823-865
In this paper we develop a strategy and some technical tools for proving the Andr e-Oort conjecture. We give lower bounds for the degrees of Galois orbits of geometric components of special subvarieties of Shimura varieties, assuming the Generalised
Autor:
Emmanuel Ullmo
Publikováno v:
Compositio Mathematica. 150:175-190
We explain how the André–Oort conjecture for a general Shimura variety can be deduced from the hyperbolic Ax–Lindemann conjecture, a good lower bound for Galois orbits of special points and the definability, in the $o$-minimal structure ${ \math