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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On homology of real algebraic varieties
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by Yıldıray Ozan PDF
Proc. Amer. Math. Soc. 129 (2001), 3167-3175 Request permission

Abstract:

Let $R$ be a commutative ring with unity and $X$ an $R$-oriented compact nonsingular real algebraic variety of dimension $n$. If $i :X \rightarrow X_{\mathbb C}$ is any nonsingular complexification of $X$, then the kernel, which we will denote by $KH_k(X, R)$, of the induced homomorphism ${i}_*:H_k(X,R) \rightarrow H_k(X_{\mathbb C},R)$ is independent of the complexification. In this work, we study $KH_k(X, R)$ and give some of its applications.
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Additional Information
  • Yıldıray Ozan
  • Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
  • Email: ozan@metu.edu.tr
  • Received by editor(s): November 26, 1998
  • Received by editor(s) in revised form: March 20, 2000
  • Published electronically: April 9, 2001
  • Communicated by: Michael Stillman
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 3167-3175
  • MSC (1991): Primary 14P25; Secondary 14E05
  • DOI: https://doi.org/10.1090/S0002-9939-01-06065-8
  • MathSciNet review: 1844989