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Concept information

geometry > algebraic geometry > Diophantine geometry > Severi-Brauer variety
number > number theory > Diophantine geometry > Severi-Brauer variety
algebra > abstract algebra > algebraic structure > homological algebra > Severi-Brauer variety
geometry > algebraic geometry > algebraic variety > algebraic group > Severi-Brauer variety

Preferred term

Severi-Brauer variety  

Definition

  • In mathematics, a Severi–Brauer variety over a field K is an algebraic variety V which becomes isomorphic to a projective space over an algebraic closure of K. The varieties are associated to central simple algebras in such a way that the algebra splits over K if and only if the variety has a rational point over K. Francesco Severi (1932) studied these varieties, and they are also named after Richard Brauer because of their close relation to the Brauer group.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Severi%E2%80%93Brauer_variety)

Broader concept

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URI

http://data.loterre.fr/ark:/67375/PSR-TKD4XLP7-Q

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RDF/XML TURTLE JSON-LD Created 8/24/23, last modified 8/24/23