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arXiv · 1101.2625

Cohomologie non ramifiée en degré trois d'une variété de Severi-Brauer

Alena Pirutka
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Abstract

Soit K le corps des fractions d'une surface projective et lisse, géométriquement intègre, définie sur un corps fini F. Soit C/K une conique. Parimala et Suresh ont montré que le groupe de cohomologie non ramifiée en degré trois de K(C) à coefficients de torsion est nul. Dans cette note on étend leur résultat aux variétés de Severi-Brauer associées à une algèbre centrale simple dont d'indice l est premier et différent de char F.

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Alena Pirutka. 2011-01-13. Cohomologie non ramifiée en degré trois d'une variété de Severi-Brauer. https://arxiv.org/abs/1101.2625

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