Zobrazeno 1 - 10
of 93
pro vyhledávání: '"François Loeser"'
Publikováno v:
Forum of Mathematics, Pi, Vol 3 (2015)
We prove an analog of the Yomdin–Gromov lemma for $p$-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconne
Externí odkaz:
https://doaj.org/article/1f35315cded34ee0908436aa10db1c83
Autor:
Ehud Hrushovski, François Loeser
Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-mi
Publikováno v:
Oberwolfach Reports. 18:2573-2639
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4cd60ebeb0888265d115fa64d7399d2
https://doi.org/10.4171/owr/2021/47
https://doi.org/10.4171/owr/2021/47
This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the mo
Autor:
François Loeser, Dimitri Wyss
Publikováno v:
Algebraic Geometry
Algebraic Geometry, Foundation Compositio Mathematica, 2021, pp.196-230. ⟨10.14231/ag-2021-004⟩
Algebraic Geometry, Foundation Compositio Mathematica, 2021, pp.196-230. ⟨10.14231/ag-2021-004⟩
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b3260f52900148f8d33bc0e09811aba
https://hal.sorbonne-universite.fr/hal-03184609/document
https://hal.sorbonne-universite.fr/hal-03184609/document
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work over a non-standard model of the field of complex numbers, which is endo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2956abea878684f2740ad2e2fe02659a
https://doi.org/10.1215/00127094-2022-0052
https://doi.org/10.1215/00127094-2022-0052
Autor:
Martin Hils, François Loeser
Publikováno v:
The Student Mathematical Library ISBN: 9781470452728
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f757580cf5a0965cc5c902a3ef26028
https://doi.org/10.1090/stml/089
https://doi.org/10.1090/stml/089
Publikováno v:
Algebra & Number Theory
Algebra & Number Theory, Mathematical Sciences Publishers 2020, ⟨10.2140/ant.2020.14.1423⟩
Algebra & Number Theory, 2020, ⟨10.2140/ant.2020.14.1423⟩
Algebra Number Theory 14, no. 6 (2020), 1423-1456
Algebra & Number Theory, 14 (6)
Algebra & Number Theory, Mathematical Sciences Publishers 2020, ⟨10.2140/ant.2020.14.1423⟩
Algebra & Number Theory, 2020, ⟨10.2140/ant.2020.14.1423⟩
Algebra Number Theory 14, no. 6 (2020), 1423-1456
Algebra & Number Theory, 14 (6)
International audience; 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]-point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c13d25f8fb15167d3f3cbc78edab2217
http://arxiv.org/abs/1902.06589
http://arxiv.org/abs/1902.06589
Publikováno v:
Oberwolfach Reports. 13:2625-2691
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71866462633e43976da783cc646ba3f0
https://doi.org/10.4171/owr/2016/46
https://doi.org/10.4171/owr/2016/46
Autor:
Ehud Hrushovski, François Loeser
This chapter provides some background material on definable sets, definable types, orthogonality to a definable set, and stable domination, especially in the valued field context. It considers more specifically these concepts in the framework of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::455f9f82b0c72214fbe2f150c0b94c79
https://doi.org/10.23943/princeton/9780691161686.003.0002
https://doi.org/10.23943/princeton/9780691161686.003.0002