The cohomological Brauer group of weighted projective spaces and stacks

TL;DR

This paper calculates the cohomological Brauer groups for certain algebraic stacks, specifically twists of weighted projective spaces and stacks, advancing understanding of their algebraic and geometric properties.

Contribution

It provides explicit computations of the cohomological Brauer groups for weighted projective stacks and their twists, a novel contribution to algebraic geometry and stack theory.

Findings

Explicit formulas for Brauer groups of weighted projective stacks

Identification of conditions under which Brauer groups are trivial or non-trivial

Enhanced understanding of the structure of algebraic stacks

Abstract

We compute the cohomological Brauer groups of twists of weighted projective spaces and weighted projective stacks.