Sourjya Banerjee

collaborators

3 papers

math.AG2026

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.

math.KT2026

Improved injective stability for relative $K_{1} Sp$ -groups

Sourjya Banerjee, Kuntal Chakraborty

We prove a relative version of Vorst's theorem concerning the equality of the group of all invertible matrices and the group of all elementary matrices over $R [X]$ with respect to…

math.AC2023

Stability theorems for positively graded domains and a question of Lindel

Sourjya Banerjee

Given a commutative Noetherian graded domain $R = ⨁_{i \geq 0} R_{i}$ of dimension $d \geq 2$ with $dim (R_{0}) \geq 1$ , we prove that any unimodular row of length $d + 1$ in $R$ ca…

Suslin's cancellation conjecture on smooth real affine varieties with few real points

Improved injective stability for relative K1​Sp-groups

Stability theorems for positively graded domains and a question of Lindel

Improved injective stability for relative $K_{1} Sp$ -groups