43 citations · 81 across the 6 of their papers we have counts for
6 papers
Bivariant theories in motivic stable homotopy
F. Déglise
The purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in the…
Orientation theory in arithmetic geometry
Frédéric Déglise
This work is devoted to study orientation theory in arithmetic geometric within the motivic homotopy theory of Morel and Voevodsky. The main tool is a formulation of the absolute p…
Coniveau filtration and mixed motives
F. Déglise
We introduce the motivic coniveau exact couple of a smooth scheme, in the framework of mixed motives, whose property is to universally give rise to coniveau spectral sequences thro…
Orientable homotopy modules
Frédéric Déglise
We prove a conjecture of Morel identifying Voevodsky's homotopy invariant sheaves with transfers with spectra in the stable homotopy category which are concentrated in degree zero…
Mixed Weil cohomologies
Denis-Charles Cisinski, Frédéric Déglise
We define, for a regular scheme and a given field of characteristic zero $\KK$, the notion of $\KK$-linear mixed Weil cohomology on smooth -schemes by a simple set of proper…
Around the Gysin triangle II
F. Déglise
We study the construction and properties of the Gysin triangle in an axiomatic framework which covers triangulated mixed motives and MGl-modules over an arbitrary base S. This allo…