Sourayan Banerjee

activity

20232026

collaborators

7 papers

math.AG2026

Relative Brauer groups and Kummer Sequence without characteristic constraint in $f pp f$ -topology

Sourayan Banerjee

Let $f : X \to S$ be a faithful affine map. In this article we construct a group homomorphism $θ_{fppf}: \text{Br}(f) \longrightarrow H^1_{fppf}\!\left(S, (f_*\mathcal{O}_X^\…

math.AG2026

Toolkit for the algebraic geometer

Sourayan Banerjee, Oliver Lorscheid, Alejandro Martínez Méndez +1

In this text, we outline a theory of schemes associated with a site, which generalizes a variety of geometries, such as manifolds, schemes, analytic spaces, simplicial complexes, a…

math.LO2025

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Sourayan Banerjee, Amit Kuber

This paper is a sequel to a paper by the same authors, where they defined $K$ -groups of model-theoretic structures, and computed $K_{1}$ of free modules over PIDs. In this paper, we…

math.KT2025

Homotopy Invariance of $K$ -groups using Grayson's Technique

Sourayan Banerjee

Homotopy invariance of $K$ -theory has always been a point of interest. In this article, with the help of the generators of Nil $K$ -groups using Grayson's technique, it is shown that…

math.LO2024

Model-theoretic $K_{1}$ of free modules over PIDs

Sourayan Banerjee, Amit Kuber

Motivated by Krajiček and Scanlon's definition of the Grothendieck ring $K_{0} (M)$ of a first-order structure $M$ , we introduce the definition of $K$ -groups $K_{n} (M)$ for $n \geq 0$ via…

math.KT2023

Lambda Module structure on higher $K$ -groups

Sourayan Banerjee, Vivek Sadhu

In this article, we show that for a quasicompact scheme $X$ and $n > 0,$ the $n$ -th $K$ -group $K_{n} (X)$ is a $λ$ -module over a $λ$ -ring $K_{0} (X)$ in the sense of Hesselholt.

math.KT2023

On the generators of Nil $K$ -groups

Sourayan Banerjee, Vivek Sadhu

In this article, we study higher Nil $K$ -groups via binary complexes. More particularly, we exhibit an explicit form of generators of higher Nil $K$ -groups in terms of binary compl…

Relative Brauer groups and Kummer Sequence without characteristic constraint in fppf-topology

Toolkit for the algebraic geometer

Model-theoretic K1​ for modules over semisimple rings: (weak) Morita invariance

Homotopy Invariance of K-groups using Grayson's Technique

Model-theoretic K1​ of free modules over PIDs

Lambda Module structure on higher K-groups

On the generators of Nil K-groups

Relative Brauer groups and Kummer Sequence without characteristic constraint in $f pp f$ -topology

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Homotopy Invariance of $K$ -groups using Grayson's Technique

Model-theoretic $K_{1}$ of free modules over PIDs

Lambda Module structure on higher $K$ -groups

On the generators of Nil $K$ -groups