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arXiv · 1203.2141

Sur la cohomologie non ramifiée en degré trois d'un produit

Alena Pirutka
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Abstract

Let F be a finite field and let C be a smooth projective curve over F. For some smooth projective surfaces X over F we establish that the third unramified cohomology of the product of X and C vanishes. This applies in particular to geometrically rational surfaces. Soit F un corps fini et soit C une courbe projective et lisse sur F. Pour certaines surfaces projectives et lisses X sur F on établit la nullité du troisième groupe de cohomologie non ramifiée du produit de X et C. Cela s'applique en particulier aux surfaces géométriquement rationnelles.

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Alena Pirutka. 2012-03-09. Sur la cohomologie non ramifiée en degré trois d'un produit. https://arxiv.org/abs/1203.2141

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