pith. sign in

arxiv: 1106.3001 · v1 · pith:S4VKWYZFnew · submitted 2011-06-15 · 🧮 math.AG

Invariants birationnels dans la suite spectrale de Bloch-Ogus

classification 🧮 math.AG
keywords invariantsbloch-ogusbirationnelscorpscyclecyclesdimensionfield
0
0 comments X
read the original 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 \'etablit que certains E_2-termes de la suite spectrale de Bloch-Ogus sont des invariants birationnels des k-vari\'et\'es projectives et lisses, g\'eom\'etriquement int\`egres. Sur un corps fini, on relie un de ces invariants au conoyau de l'application classe de cycle l-adique \'etale pour les 1-cycles.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.