English

On the group of separable quadratic algebras and stacks

Algebraic Geometry 2019-02-20 v2 Commutative Algebra

Abstract

The aim of this paper is to study the group of isomorphism classes of torsors of finite flat group schemes of rank 2 over a commutative ring RR. This, in particular, generalises the group of quadratic algebras (free or projective), which is especially well studied. Our approach however, yields new results even in this case.

Keywords

Cite

@article{arxiv.1604.02547,
  title  = {On the group of separable quadratic algebras and stacks},
  author = {Ilia Pirashvili},
  journal= {arXiv preprint arXiv:1604.02547},
  year   = {2019}
}