20 citations · 62 across the 12 of their papers we have counts for
8 papers · 1 filter
Suslin's cancellation conjecture on smooth real affine varieties with few real points
Sourjya Banerjee, Jean Fasel, Samuel Lerbet
We study Suslin's cancellation conjecture on smooth real affine varieties whose real locus is empty or, more generally, of small cohomological dimension.
Exotic Hopf maps, weight shifting and applications to vector bundles
Jean Fasel, William Hornslien
Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an…
Splitting vector bundles over real algebraic varieties
Aravind Asok, Jean Fasel, Samuel Lerbet
Suppose is a smooth affine real variety and is a vector bundle over . We analyze the problem of splitting off a free rank one summand from in cor…
On Tate Milnor-Witt Motives
Jean Fasel, Nanjun Yang
Smooth projective -varieties with isolated rational fixed points admit Tate Milnor-Witt motives. Over Euclidean fields, we give a splitting formula of such motives, w…
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,…