On homotopy groups of real algebraic varieties and their complexifications

Date

2004-10-01

Author

Ozan, Yıldıray

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Let X-0 be a topological component of a nonsingular real algebraic variety and i : X --> X-C is a nonsingular projective complexification of X. In this paper, we will study the homomorphism on homotopy groups induced by the inclusion map i: X-0 --> X-C and obtain several results using rational homotopy theory and other standard tools of homotopy theory.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/39484

Journal

GEOMETRIAE DEDICATA

DOI

https://doi.org/10.1007/s10711-004-9648-6

Collections

Department of Mathematics, Article

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Citation Formats

Y. Ozan, “On homotopy groups of real algebraic varieties and their complexifications,” GEOMETRIAE DEDICATA, pp. 131–140, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39484.