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pro vyhledávání: '"Joël Riou"'
We define the algebraic elliptic cohomology theory coming from Krichever’s elliptic genus as an oriented cohomology theory on smooth varieties over an arbitrary perfect field. We show that in the algebraic cobordism ring with rational coefficients,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8960fcef70c2208662f2f820b8a9b66f
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Autor:
Joël Riou
Publikováno v:
Journal of Topology. 3:229-264
In this article, we show that the combination of the constructions done in SGA 6 and the A^1-homotopy theory naturally leads to results on higher algebraic K-theory. This applies to the operations on algebraic K-theory, Chern characters and Riemann-R
Autor:
Joël Riou
Publikováno v:
Mathématiques [math]. Université Paris-Diderot-Paris VII, 2006. Français
This thesis contributes to the homotopy theory of schemes. In the first part, we carry onward the constructions by Fabien Morel and Vladimir Voevodsky: we define the stable homotopy categories of hanging sites with intervals. This construction is mor
Autor:
Joël Riou
Publikováno v:
Bulletin de la Société mathématique de France. 135:495-547
Cet article presente la construction de la categorie homotopique stable d'un site suspendu avec intervalle arbitraire. La fonctorialite de cette construction est etudiee, avec des applications a la theorie homotopique des schemas introduite par F. Mo
Autor:
Joël Riou
Publikováno v:
Comptes Rendus Mathematique. 340:431-436
Resume Dans cette Note, on etudie les objets de presentation finie de la categorie homotopique stable de Morel–Voevodsky et on montre que les resultats de Voevodsky et Ayoub sur les quatre foncteurs permettent d'etablir la dualite de Spanier–Whit
Autor:
Zhang, Haowen
Publikováno v:
Bulletin of the London Mathematical Society; Feb2023, Vol. 55 Issue 1, p308-320, 13p
Autor:
Murayama, Takumi
Publikováno v:
Compositio Mathematica; Jan2022, Vol. 158 Issue 1, p57-88, 32p
This book contains notes of a seminar on Ofer Gabber's work on the etale cohomology and uniformization of quasi-excellent schemes. His main results include (cf. introduction) constructibility theorems (for abelian or non-abelian coefficients), vanish
Externí odkaz:
http://arxiv.org/abs/1207.3648
Autor:
Kelly, Shane, Morrow, Matthew
Publikováno v:
Compositio Mathematica; Jun2021, Vol. 157 Issue 6, p1121-1142, 22p
Autor:
Gaisin, Ildar, Welliaveetil, John
Publikováno v:
IMRN: International Mathematics Research Notices; Mar2021, Vol. 2021 Issue 5, p3438-3511, 74p