Tariq Syed

activity

20192025

collaborators

4 papers

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…

math.AG2024

A symplectic version of Suslin's $n!$ -theorem

Tariq Syed

We prove symplectic versions of Suslin's famous $n!$ -theorem for algebras over quadratically closed perfect fields of characteristic $\neq = 2$ and for algebras over finite fields of…

math.AG2019

The cancellation of projective modules of rank 2 with a trivial determinant

Tariq Syed

We study the cancellation property of projective modules of rank $2$ with a trivial determinant over Noetherian rings of dimension $\leq 4$ . If $R$ is a smooth affine algebra of di…

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

On algebraic vector bundles of rank 2 over smooth affine fourfolds

A symplectic version of Suslin's n!-theorem

The cancellation of projective modules of rank 2 with a trivial determinant

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

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

A symplectic version of Suslin's $n!$ -theorem