20 citations · 62 across the 8 of their papers we have counts for
13 papers
Vector bundles on algebraic varieties
Aravind Asok, Jean Fasel
We survey some recent progress in the theory of vector bundles on algebraic varieties and related questions in algebraic K-theory.
On the rational motivic homotopy category
Frédéric Déglise, Jean Fasel, Adeel A. Khan +1
We study the structure of the rational motivic stable homotopy category over general base schemes. Our first class of results concerns the six operations: we prove absolute purity,…
Lectures on Chow-Witt groups
Jean Fasel
In these lectures, we provide a toolkit to work with Chow-Witt groups, and more generally with the homology and cohomology of the Rost-Schmid complex associated to Milnor-Witt -…
The Borel character
Frédéric Déglise, Jean Fasel
The main purpose of this article is to define a quadratic analog of the Chern character, the so-called Borel character, which identifies rational higher Grothendieck-Witt groups wi…
Borel isomorphism and absolute purity
Frédéric Déglise, Jean Fasel, Fangzhou Jin +1
We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of an analogue of the Chern character, where algebraic K-theory is replac…
Rank weights for arbitrary finite field extensions
Grégory Berhuy, Jean Fasel, Odile Garotta
In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known…