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 2012Show all

3 papers · 1 filter

math.AG2012★ 12 cited

Splitting vector bundles outside the stable range and A^1-homotopy sheaves of punctured affine spaces

Aravind Asok, Jean Fasel

We discuss the relationship between the $A^{1}$ -homotopy sheaves of $A^{n} ∖ 0$ and the problem of splitting off a trivial rank $1$ summand from a rank $n$ -…

math.AG2012★ 31 cited

Algebraic vector bundles on spheres

Aravind Asok, Jean Fasel

We determine the first non-stable $A^{1}$ -homotopy sheaf of $S L_{n}$ . Using techniques of obstruction theory involving the $A^{1}$ -Postnikov tower, supported by some…

math.AG2012★ 53 cited

A cohomological classification of vector bundles on smooth affine threefolds

Aravind Asok, Jean Fasel

We give a cohomological classification of vector bundles of rank $2$ on a smooth affine threefold over an algebraically closed field having characteristic unequal to $2$ . As a cons…