Sourjya Banerjee

activity

20212026

most citedOn a question of Nori: obstructions, improvements, and applications

4 citations · 8 across the 8 of their papers we have counts for

collaborators

9 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…

math.AC2023

Efficient generation, unimodular element in a geometric subring of a polynomial ring

Sourjya Banerjee, Chandan Bhaumik, Husney Parvez Sarwar

Let $R$ be a commutative Noetherian ring of dimension $d$ . First, we define the "geometric subring" $A$ of a polynomial ring $R [T]$ of dimension $d + 1$ (the definition of geometric…

math.AC2023★ 1 cited

Subrings of polynomial rings and the conjectures of Eisenbud and Evans

Sourjya Banerjee

Let $R$ be a commutative Noetherian ring of dimension $d$ . In 1973, Eisenbud and Evans proposed three conjectures on the polynomial ring $R [T]$ . These conjectures were settled in t…

math.AC2022

Cancellation of projective modules in polynomial rings of prime characteristic

Sourjya Banerjee

Let $A$ be a commutative Noetherian ring of characteristic $p > 0$ , such that $dim (A) = d$ . Let $P$ be a projective $A [T_{1}, ..., T_{n}]$ -module of rank $d$ . We show that $P$ is cancellati…

math.AC2022★ 1 cited

Splitting criteria for projective modules over polynomial algebras

Sourjya Banerjee, Mrinal Kanti Das

This article investigates the splitting problem for finitely generated projective modules $P$ over affine algebras over algebraically closed fields and their polynomial extensions.…

math.AC2022★ 4 cited

On a question of Nori: obstructions, improvements, and applications

Sourjya Banerjee, Mrinal Kanti Das

This article concerns a question asked by M. V. Nori on homotopy of sections of Projective modules defined on the polynomial algebra over a smooth affine domain $R$ . While this que…

math.AC2021★ 2 cited

Zero cycles, Mennicke symbols and $K_{1}$ -stability of certain real affine algebras

Sourjya Banerjee

Let $R$ be a reduced real affine algebra of (Krull) dimension $d \geq 2$ such that either $R$ has no real maximal ideals, or the intersection of all real maximal ideals in $R$ has h…

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

Efficient generation, unimodular element in a geometric subring of a polynomial ring

Subrings of polynomial rings and the conjectures of Eisenbud and Evans

Cancellation of projective modules in polynomial rings of prime characteristic

Splitting criteria for projective modules over polynomial algebras

On a question of Nori: obstructions, improvements, and applications

Zero cycles, Mennicke symbols and K1​-stability of certain real affine algebras

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

Zero cycles, Mennicke symbols and $K_{1}$ -stability of certain real affine algebras