On homology of real algebraic varieties

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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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Citation Formats

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.