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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

Terme préférentiel

Severi-Brauer variety  

Définition

  • 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)

Concept générique

Traductions

URI

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

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RDF/XML TURTLE JSON-LD Date de création 24/08/2023, dernière modification le 24/08/2023