Avinash Roy

collaborators

2 papers

math.GR2026

Products of trees and $PGL_{2}$ -torsors over the punctured affine line

Andrei S. Rapinchuk, Igor A. Rapinchuk, Avinash Roy

The goal of this article is to present a computation of the Galois cohomology of the group $G = PGL_{2}$ over rings of Laurent polynomials. This computation recovers the mai…

math.NT2026

Finiteness of the Tate-Shafarevich group over function fields for groups of multiplicative type

Igor A. Rapinchuk, Avinash Roy

Let $K = k (X)$ be the function field of a smooth geometrically integral variety $X$ of dimension $\geq 2$ over a field $k$ of characteristic 0 and $V$ be the set of discrete valuat…

Products of trees and PGL2​-torsors over the punctured affine line

Finiteness of the Tate-Shafarevich group over function fields for groups of multiplicative type

Products of trees and $PGL_{2}$ -torsors over the punctured affine line