On homology of real algebraic varieties

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.

Citation Formats
Y. Ozan, “On homology of real algebraic varieties,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 129, no. 11, pp. 3167–3175, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46487.