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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
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DOI: https://doi.org/10.1070/IM2007v071n03ABEH002368
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 3, Pages 141–172
DOI: https://doi.org/10.4213/im583
Bibliographic databases:
UDC: 512.7
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Real algebraic varieties and cobordism”, Izv. RAN. Ser. Mat., 71:3 (2007), 141–172; Izv. Math., 71:3 (2007), 573–601
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:195
    English version PDF:12
    References:61
    First page:1
     
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