V. Sadhu

activity

20162021

collaborators

5 papers

math.AG2021

The Brauer group of a valuation ring

Vivek Sadhu

Let $V$ be a valuation ring and $K$ be its field of fraction. We show that the canonical map $\Br(V) \to \Br(K)$ is injective.

math.AG2020

Equivariant Picard groups and Laurent polynomials

Vivek Sadhu

Let $G$ be a finite group. For a $G$ -ring $A,$ let $Pic^{G} (A)$ denote the equivariant Picard group of $A .$ We show that if $A$ is a finite type algebra over a fiel…

math.AG2020

Projective bundle formula for Heller' relative K_0

Vivek Sadhu

In this article, we study the Heller relative $K_{0}$ group of the map $P_{X}^{r} \to P_{S}^{r},$ where $X$ and $S$ are quasi-projective schemes over a commutativ…

math.AG2019

Relative Brauer Groups and étale cohomology

Vivek Sadhu

In this article, we construct a natural group homomorphism $ψ : Br (f) \to H_{e t}^{1} (S, f_{*} O_{X}^{\times} / O_{S}^{\times})$ for a faithful affine map $…

math.KT2016

Relative Cartier divisors and K-theory

Vivek Sadhu, Charles Weibel

We study the relative Picard group $P i c (f)$ of a map $f : X \to S$ of schemes. If $f$ is faithful affine, it is the relative Cartier divisor group $I (f)$ . The relative group $K_{0} (f)$ …