Weil-étale cohomology over finite fields

DOI10.1007/s00208-004-0564-8zbMath1069.14021arXivmath/0404425OpenAlexW2094666669MaRDI QIDQ707429

Thomas Geisser

Publication date: 9 February 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404425

zbMATH Keywords

étale cohomologymotivic complexes

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20)

Related Items

Tame class field theory for singular varieties over finite fields ⋮ On integral class field theory for varieties over \(p\)-adic fields ⋮ HASSE PRINCIPLES FOR ÉTALE MOTIVIC COHOMOLOGY ⋮ Tori over number fields and special values at \(s = 1\) ⋮ Motivic cohomology and \(K\)-theory of some surfaces over finite fields ⋮ A categorical Künneth formula for constructible Weil sheaves ⋮ Zeta functions of regular arithmetic schemes at \(s=0\) ⋮ On the structure of étale motivic cohomology ⋮ Cohomological Hasse principle and motivic cohomology for arithmetic schemes ⋮ Arithmetic homology and an integral version of Kato's conjecture ⋮ A Weil-étale version of the Birch and Swinnerton-Dyer formula over function fields ⋮ Arithmetic cohomology over finite fields and special values of \(\zeta\)-functions ⋮ Motivic cohomology: applications and conjectures ⋮ The Weil-étale topology for number rings ⋮ Weil-étale cohomology and zeta-values of proper regular arithmetic schemes ⋮ Special values of \(L\)-functions of one-motives over function fields

Cites Work

• The Weil-étale topology for number rings
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• Groupes de Chow et K-théorie de variétés sur un corps fini
• Continuous étale cohomology
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• The torsion of the group of 0-cycles modulo rational equivalence
• The Geisser-Levine method revisited and algebraic cycles over a finite field
• The \(K\)-theory of fields in characteristic \(p\)
• Endomorphisms of Abelian varieties over finite fields
• Values of Zeta Functions of Varieties Over Finite Fields
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