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

Translated title of the contribution: On the unramified cohomology in degree three of a product

Research output: Contribution to journalArticle

Abstract

(On the unramified cohomology in degree three of a product) Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X × C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.

Original languageFrench
Pages (from-to)53-75
Number of pages23
JournalBulletin de la Societe Mathematique de France
Volume144
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

Cohomology
Rational Surface
Galois field
Vanish
Curve

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Sur la cohomologie non ramifiée en degré trois d'un produit. / Pirutka, Alena.

In: Bulletin de la Societe Mathematique de France, Vol. 144, No. 1, 01.01.2016, p. 53-75.

Research output: Contribution to journalArticle

@article{53cfb03316e147cbb03862cd4af7b822,
title = "Sur la cohomologie non ramifi{\'e}e en degr{\'e} trois d'un produit",
abstract = "(On the unramified cohomology in degree three of a product) Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X × C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.",
author = "Alena Pirutka",
year = "2016",
month = "1",
day = "1",
doi = "10.24033/BSMF.2706",
language = "French",
volume = "144",
pages = "53--75",
journal = "Bulletin de la Societe Mathematique de France",
issn = "0037-9484",
publisher = "Societe Mathematique de France",
number = "1",

}

TY - JOUR

T1 - Sur la cohomologie non ramifiée en degré trois d'un produit

AU - Pirutka, Alena

PY - 2016/1/1

Y1 - 2016/1/1

N2 - (On the unramified cohomology in degree three of a product) Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X × C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.

AB - (On the unramified cohomology in degree three of a product) Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X × C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.

UR - http://www.scopus.com/inward/record.url?scp=85045467974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045467974&partnerID=8YFLogxK

U2 - 10.24033/BSMF.2706

DO - 10.24033/BSMF.2706

M3 - Article

VL - 144

SP - 53

EP - 75

JO - Bulletin de la Societe Mathematique de France

JF - Bulletin de la Societe Mathematique de France

SN - 0037-9484

IS - 1

ER -