1 citations · 1 across the 6 of their papers we have counts for
9 papers
Isotropic localizations of mixed initial motives
Charles De Clercq, Fabio Tanania
In this paper, we define the triangulated category of initial motives, which contains, for example, all motives of projective homogeneous varieties for semisimple algebraic groups…
Real isotropic motivic spectra
Fabio Tanania
In this paper, we introduce the category of real isotropic motivic spectra, and show that the real realization functor from motivic spectra over to classical spectra f…
Isotropic motivic fundamental groups
Fabio Tanania
The main goal of this paper is to study relative versions of the category of modules over the isotropic motivic Brown-Peterson spectrum, with a particular emphasis on their cellula…
Motivic cohomology of the Nisnevich classifying space of even Clifford groups
Fabio Tanania
In this paper, we consider the split even Clifford group and compute the mod 2 motivic cohomology ring of its Nisnevich classifying space. The description we obtain is quit…
A Serre-type spectral sequence for motivic cohomology
Fabio Tanania
In this paper, we construct and study a Serre-type spectral sequence for motivic cohomology associated to a map of bisimplicial schemes with motivically cellular fiber. Then, we sh…
Cellular objects in isotropic motivic categories
Fabio Tanania
Our main purpose is to describe the category of isotropic cellular spectra over flexible fields. Guided by [6], we show that it is equivalent, as a stable -category equippe…
Isotropic stable motivic homotopy groups of spheres
Fabio Tanania
In this paper we explore the isotropic stable motivic homotopy category constructed from the usual stable motivic homotopy category, following the work of Vishik on isotropic motiv…
Subtle characteristic classes for -torsors
Fabio Tanania
Extending [14], we obtain a complete description of the motivic cohomology with -coefficients of the Nisnevich classifying space of the spin group associate…
Subtle characteristic classes and Hermitian forms
Fabio Tanania
Following [14], we compute the motivic cohomology ring of the Nisnevich classifying space of the unitary group associated to the standard split hermitian form of a quadratic extens…