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Izvestiya: Mathematics, 2007, Volume 71, Issue 3, Pages 573–601
DOI: https://doi.org/10.1070/IM2007v071n03ABEH002368
(Mi im583)
 

Real algebraic varieties and cobordism

V. A. Krasnov

P. G. Demidov Yaroslavl State University
References:
Abstract: We consider two non-oriented cobordism classes that are obtained from a projective morphism of smooth real quasi-projective algebraic varieties. The first is induced by the map of complex points of the varieties and the second by the map of real points. We find and prove relations between these cobordism classes. In particular, we describe the restrictions imposed on the first by the vanishing of the second.
Received: 27.09.2000
Revised: 07.12.2005
Bibliographic databases:
UDC: 512.7
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Real algebraic varieties and cobordism”, Izv. Math., 71:3 (2007), 573–601
Citation in format AMSBIB
\Bibitem{Kra07}
\by V.~A.~Krasnov
\paper Real algebraic varieties and cobordism
\jour Izv. Math.
\yr 2007
\vol 71
\issue 3
\pages 573--601
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\crossref{https://doi.org/10.1070/IM2007v071n03ABEH002368}
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