Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Loeser, François"'
In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ng\^o's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof by Groechenig, Wyss and Ziegler which avoided the use of perverse s
Externí odkaz:
http://arxiv.org/abs/2308.12195
Publikováno v:
Journal de l'\'Ecole polytechnique -- Math\'ematiques, Tome 11 (2024), pp. 613-654
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists in working in the framework of stable completions of algebraic varietie
Externí odkaz:
http://arxiv.org/abs/2210.04003
Autor:
Loeser, François, Wyss, Dimitri
Publikováno v:
Algebraic Geometry 8, 196-230 (2021)
We prove that the moduli spaces of twisted $\mathrm{SL}_n$ and $\mathrm{PGL}_n$-Higgs bundles on a smooth projective curve have the same (stringy) class in the Grothendieck ring of rational Chow motives. On the level of Hodge numbers this was conject
Externí odkaz:
http://arxiv.org/abs/1912.11638
Publikováno v:
Alg. Number Th. 14 (2020) 1423-1456
We prove a uniform version of non-Archimedean Yomdin-Gromov parametrizations in a definable context with algebraic Skolem functions in the residue field. The parametrization result allows us to bound the number of F_q[t]-points of bounded degrees of
Externí odkaz:
http://arxiv.org/abs/1902.06589
Publikováno v:
Transactions of the London Mathematical Society, 5 (1), 97-131 (2018)
We study some constructions on distributions in a uniform $p$-adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distributions which we call distributions of ${\mathscr C}^{\mathrm{exp}}$-c
Externí odkaz:
http://arxiv.org/abs/1706.03003
Publikováno v:
Algebra & Number Theory 11, 1967-1999 (2017)
We prove a statement of Ax-Lindemann type for the uniformization of products of Mumford curves whose associated fundamental groups are non-abelian Schottky subgroups of $\mathop{\rm PGL}(2,\bar{\mathbf Q_p})$ contained in $\mathop{\rm PGL}(2,\bar{\ma
Externí odkaz:
http://arxiv.org/abs/1511.03259
Akademický článek
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Publikováno v:
Amer. J. Math. 138 1-59 (2016)
Let $C$ be a projective smooth connected curve over an algebraically closed field of characteristic zero, let $F$ be its field of functions, let $C_0$ be a dense open subset of $C$. Let $X$ be a projective flat morphism to $C$ whose generic fiber $X_
Externí odkaz:
http://arxiv.org/abs/1302.2077
Publikováno v:
L'Enseignement Math\'ematique. 60, 273-292 (2014)
Let K be a field that is complete with respect to a nonarchimedean absolute value such that K has a countable dense subset. We prove that the Berkovich analytification V^an of any d-dimensional quasi-projective scheme V over K embeds in R^{2d+1}. If,
Externí odkaz:
http://arxiv.org/abs/1210.6485
Autor:
Denef, Jan, Loeser, Francois
Publikováno v:
Journal of the American Mathematical Society, 2001 Apr 01. 14(2), 429-469.
Externí odkaz:
https://www.jstor.org/stable/2646178
