Glider Brauer-Severi varietes of central simple algebras
Rings and Algebras
2019-06-11 v1
Abstract
The glider Brauer-Severy variety GBS(A) of a central simple algebra A over a field K is introduced as the set of all irreducible left glider ideals in A for some filtration FA. For fields we deduce that GBS(K) equals R(K) x Z, the product of the Riemann surface of K and the ring of integers Z. For a csa A over K it turns out that GBS(A) = BS(A) x GBS(K), where BS(A) denotes the classical Brauer-Severi variety of A.
Keywords
Cite
@article{arxiv.1906.03411,
title = {Glider Brauer-Severi varietes of central simple algebras},
author = {Frederik Caenepeel and Freddy Van Oystaeyen},
journal= {arXiv preprint arXiv:1906.03411},
year = {2019}
}
Comments
24 pages, submitted for publication