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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 777–803
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-777-803 (Mi mmj587) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stable birational invariants with Galois descent and differential forms

M. Rovinskyab

a National Research University Higher School of Economics, Laboratory of Algebraic Geometry, 7 Vavilova str., Moscow 117312, Russia
b Institute for Information Transmission Problems of Russian Academy of Sciences
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-777-803
Abstract: I show that the cohomology of the generic points of algebraic complex varieties becomes stable birational invariant, when considered ‘modulo the cohomology of the generic points of the affine spaces’.
Key words and phrases: dominant topology, smooth representations of automorphism groups of fields, de Rham cohomology.
Funding agency Grant number
National Science Foundation DMS-0635607
Ministry of Education and Science of the Russian Federation
The author was supported by the National Science Foundation under agreement No. DMS-0635607. The article was prepared within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program.
Received: May 15, 2015; in revised form September 26, 2015
Bibliographic databases:
Document Type: Article
MSC: 14F40, 14E99, 14C15, 18F20
Language: English
Citation: M. Rovinsky, “Stable birational invariants with Galois descent and differential forms”, Mosc. Math. J., 15:4 (2015), 777–803
Citation in format AMSBIB
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\by M.~Rovinsky
\paper Stable birational invariants with Galois descent and differential forms
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 777--803
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-4-777-803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438834}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000368530900013}
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