On homotopy groups of real algebraic varieties and their complexifications


Ozan Y.

GEOMETRIAE DEDICATA, vol.108, no.1, pp.131-140, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 108 Issue: 1
  • Publication Date: 2004
  • Doi Number: 10.1007/s10711-004-9648-6
  • Title of Journal : GEOMETRIAE DEDICATA
  • Page Numbers: pp.131-140

Abstract

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.