J. Fasel

activity

20092026

most citedA cohomological classification of vector bundles on smooth affine threefolds

53 citations · 322 across the 36 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AG2015

Families of \mathbb{A}^1-contractible affine threefolds

Adrien Dubouloz, Jean Fasel

We provide families of affine threefolds which are contractible in the unstable $A^{1}$ -homotopy category of Morel-Voevodsky and pairwise non-isomorphic, thus answering a que…

math.AC2015

On the number of generators of ideals in polynomial rings

Jean Fasel

Let $R$ be a smooth affine algebra over an infinite perfect field $k$ . Let $I \subset R$ be an ideal, $ω_{I} : (R / I)^{n} \to I / I^{2}$ a surjective homomorphism and $Q_{2n}\subset \mathbb{A}^…

math.AG2015

Obstructions to algebraizing topological vector bundles

Aravind Asok, Jean Fasel, Michael J. Hopkins

Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all C…