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On homology of real algebraic varieties
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Date
2001-01-01
Author
Ozan, Yıldıray
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Let R be a commutative ring with unity and X an R-oriented compact nonsingular real algebraic variety of dimension n. If i : X --> X-C is any nonsingular complexification of X, then the kernel, which we will denote by KHk(X, R), of the induced homomorphism i(*) : H-k(X, R) --> H-k(X-C, R) is independent of the complexification. In this work, we study KHk(X, R) and give some of its applications.
Subject Keywords
Applied Mathematics
,
General Mathematics
URI
https://hdl.handle.net/11511/46487
Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1090/s0002-9939-01-06065-8
Collections
Department of Mathematics, Article
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Y. Ozan, “On homology of real algebraic varieties,”
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
, pp. 3167–3175, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46487.