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Complexification of Real Algebraic Varieties and Vanishing of Homology Classes
Author(s) -
Bochnak J.,
Kucharz W.
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/33.1.32
Subject(s) - mathematics , invertible matrix , complexification , homology (biology) , algebraic variety , pure mathematics , algebraic group , algebraic number , algebra over a field , mathematical analysis , biochemistry , chemistry , gene
Let X be a nonsingular real algebraic variety, and let X (C) be its nonsingular projective complexification. We study the following question: when does the homology class represented by X in the homology group of X (C) vanish? An application concerning the structure of the set of regular mappings is given.