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June 2004 Cohomological Hasse principle for the ring $\mathbb{F}_{p}((t))[[X,Y]]$
Belgacem Draouil
Bull. Belg. Math. Soc. Simon Stevin 11(2): 181-190 (June 2004). DOI: 10.36045/bbms/1086969310

Abstract

In this paper,we will prove the prime-to-p-part of a cohomological Hasse principle for the ring $A=\mathbb{F}_{p}((t))[[X,Y]].$ The proof is based on recent results by Fujiwara and Panin.

Citation

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Belgacem Draouil. "Cohomological Hasse principle for the ring $\mathbb{F}_{p}((t))[[X,Y]]$." Bull. Belg. Math. Soc. Simon Stevin 11 (2) 181 - 190, June 2004. https://doi.org/10.36045/bbms/1086969310

Information

Published: June 2004
First available in Project Euclid: 11 June 2004

zbMATH: 1101.13019
MathSciNet: MR2080420
Digital Object Identifier: 10.36045/bbms/1086969310

Subjects:
Primary: 11G20 , 11G45 , 14C35 , 14H30 , 19F05

Keywords: completely split coverings , Hasse principle , Kato's complex , local duality , purity

Rights: Copyright © 2004 The Belgian Mathematical Society

Vol.11 • No. 2 • June 2004
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