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arXiv · 1106.3001

Invariants birationnels dans la suite spectrale de Bloch-Ogus

Alena Pirutka
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Abstract

For a field k of cohomological dimension d we prove that some E_2-terms of the Bloch-Ogus spectral sequence are birational invariants of smooth projective geometrically integral varieties over k. Over a finite field, we relate one of these invariants with the cokernel of the l-adic cycle class map for 1-cycles. Soit k un corps de dimension cohomologique d. On établit que certains E_2-termes de la suite spectrale de Bloch-Ogus sont des invariants birationnels des k-variétés projectives et lisses, géométriquement intègres. Sur un corps fini, on relie un de ces invariants au conoyau de l'application classe de cycle l-adique étale pour les 1-cycles.

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Alena Pirutka. 2011-06-15. Invariants birationnels dans la suite spectrale de Bloch-Ogus. https://arxiv.org/abs/1106.3001

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