T. Syed

collaborators

5 papers

math.AG2026

Vector bundles over certain Koras-Russell threefolds of the third kind

Tariq Syed

Let $k$ be an algebraically closed base field of characteristic $0$ and let $I^\pm_{1}, I^\pm_{2}, I^\pm_{3}, d \geq 2$ be integers such that $I^\pm_{1}, I^\pm_{2}, I^\pm_{3}$ are pairwise coprime a…

math.AG2026

Efficient generation of projective modules: a motivic view

Aravind Asok, Morgan Opie, Brian Shin +1

Assume $k$ is a field and $R$ is a smooth $k$ -algebra of dimension $d$ . If $P$ is a projective module of rank $r$ , then it is well-known that $P$ can be generated by $r + d$ -elements…

math.AG2025

Motivic cohomology of cyclic coverings

Tariq Syed

Cyclic coverings produce many examples of topologically contractible smooth affine complex varieties. In this paper, we study the motivic cohomology groups of cyclic coverings over…

math.AC2025

Stably free modules of rank $2$ over certain real smooth affine threefolds

Tariq Syed

Let $R$ be a real smooth affine domain of dimension $3$ such that $R$ has either no real maximal ideals or the intersection of all real maximal ideals in $R$ has height at least $1…

math.AG2025

On algebraic vector bundles of rank $2$ over smooth affine fourfolds

Thomas Brazelton, Morgan Opie, Tariq Syed

The classification of algebraic vector bundles of rank 2 over smooth affine fourfolds is a notoriously difficult problem. Isomorphism classes of such vector bundles are not uniquel…

Vector bundles over certain Koras-Russell threefolds of the third kind

Efficient generation of projective modules: a motivic view

Motivic cohomology of cyclic coverings

Stably free modules of rank 2 over certain real smooth affine threefolds

On algebraic vector bundles of rank 2 over smooth affine fourfolds

Stably free modules of rank $2$ over certain real smooth affine threefolds

On algebraic vector bundles of rank $2$ over smooth affine fourfolds