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arXiv · 1906.03411

Glider Brauer-Severi varietes of central simple algebras

Frederik Caenepeel·Freddy Van Oystaeyen
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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.

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Frederik Caenepeel, Freddy Van Oystaeyen. 2019-06-08. Glider Brauer-Severi varietes of central simple algebras. https://arxiv.org/abs/1906.03411

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