WorldCat Identities

Morel, Fabien

Overview
Works: 10 works in 53 publications in 3 languages and 1,262 library holdings
Classifications: QA612.66, 514.72
Publication Timeline
Key
Publications about  Fabien Morel Publications about Fabien Morel
Publications by  Fabien Morel Publications by Fabien Morel
Most widely held works by Fabien Morel
Algebraic cobordism by Marc Levine ( )
17 editions published between 2007 and 2010 in English and held by 531 WorldCat member libraries worldwide
"Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. The book also contains some examples of computations and applications."--Jacket
A1-algebraic topology over a field by Fabien Morel ( )
15 editions published in 2012 in English and held by 420 WorldCat member libraries worldwide
This text deals with A¹-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A¹-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A¹-homotopy sheaves, A¹-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties
Théorie homotopique des schémas by Fabien Morel ( Book )
9 editions published in 1999 in French and held by 156 WorldCat member libraries worldwide
Homotopy theory of schemes by Fabien Morel ( Book )
5 editions published in 2006 in English and held by 141 WorldCat member libraries worldwide
Noise sensitivity of Boolean functions and applications to percolation. A 1-homotopy theory of schemes / by Fabien Morel ; Vladimir Voevodsky [u.a.] by Itai Benjamini ( Book )
1 edition published in 2001 in English and held by 5 WorldCat member libraries worldwide
Caractérisation des foncteurs homotopiques covariants représentables par un espace pointé connexe et applications by Fabien Morel ( Book )
2 editions published in 1991 in French and held by 4 WorldCat member libraries worldwide
On démontre un résultat dual du théorème de représentabilité de E.H. Brown et l'on décrit quelques applications. La première partie du mémoire contient une caractérisation des foncteurs homotopique covariants représentables par un espace pointé connexe ; on en donne comme application immédiate la construction plus de D. Quillen. La seconde partie décrit une démonstration d'un théorème de J. Lannes qui s'inspire de la technique de la première partie. La troisième partie de ce mémoire en est le coeur : c'est la reproducton d'un article rédigé en collaboration avec P. Goerss et J. Lannes sur la représentabilité de l'homologie modulo P
Modules homotopiques avec transferts et motifs génériques by Frédéric Déglise ( Book )
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Theorie hoomootopique des schemas by Fabien Morel ( Book )
1 edition published in 1999 in Italian and held by 1 WorldCat member library worldwide
Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique by Joseph Ayoub ( Book )
1 edition published in 2006 in French and held by 1 WorldCat member library worldwide
The goal of the thesis is to do for motives what was done for etale cohomology in SGA 4 and SGA 7. Unfortunately, this Project is extremely difficult and put of reach of actual techniques. This is due to the fact that the motives we are using lives in a trianqulated category rather than an abelian one. Nevertheless, we were able to obtain the motivic analogue of many results of SGA 4 and SGA 7. We have constructed the remaininq operations. We proved the base change theorems, the constructability and cohomological dimension theorems, We established Verdier duality. We computed the nearby cycles in the semi-stable reduction situation and proved the unipotence of the monodrorny operator. What we didn't do: Artin theorern on the cohomological dimension of an affine scheme the global theory of vanishing cycles, etc
A1-homotopy theory of schemes by Fabien Morel ( Book )
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
 
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Audience Level
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Audience level: 0.78 (from 0.00 for Noise sens ... to 0.93 for Les six op ...)
Alternative Names
Morel, F.
Morel, F. 1965-
Morel, F. (Fabien)
Languages
English (39)
French (13)
Italian (1)
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