On the kernel of the reciprocity map of normal surfaces over finite fields

DOI10.1023/A:1007828326624zbMath0947.19001OpenAlexW1975605770MaRDI QIDQ1818745

Kazuya Matsumi, Kanetomo Sato, Masanori Asakura

Publication date: 7 February 2000

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007828326624

zbMATH Keywords

desingularizationChow groupétale fundamental groupreciprocity mapcohomological Hasse principle

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Algebraic cycles (14C25) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items

Tame class field theory for singular varieties over finite fields ⋮ The kernel of the reciprocity map of simple normal crossing varieties over finite fields ⋮ On the kernel of the reciprocity map of simple normal crossing varieties over finite fields ⋮ Arithmetic homology and an integral version of Kato's conjecture ⋮ Motivic cohomology: applications and conjectures ⋮ Non-divisible cycles on surfaces over local fields