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ON THE GROUP OF SEPARABLE QUADRATIC ALGEBRAS AND STACKS

Published online by Cambridge University Press:  20 June 2018

ILIA PIRASHVILI
ILIA PIRASHVILI*
Affiliation:
Institut für Mathematik, Universität Osnabrück, Albrechtstr. 28a, 49076 Osnabrück, Germany e-mails: ilia.pirashvili@uni-osnabrueck.de, ilia_p@ymail.com
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Abstract

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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 R. This, in particular, generalizes the group of quadratic algebras (free or projective), which is especially well studied. Our approach, however, yields new results even in this case.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 1 , January 2019 , pp. 151 - 167
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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