Construction of Brauer-Severi Varieties

Elisa Lorenzo García (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper we give an algorithm for computing equations of Brauer-Severi varieties over perfect fields of characteristic 0. As an example we show the equations of all Brauer-Severi surfaces defined over $\mathbb{Q}$.

Mots clés: Brauer-Severi varieties; twists; central simple algebras; Veronese embedding; Hilbert’s Theorem 90

Domaines: Théorie des nombres [math.NT]

Elisa Lorenzo García. Construction of Brauer-Severi Varieties. 2017. ⟨hal-01618799⟩