On homotopy groups of real algebraic varieties and their complexifications


Ozan Y.

GEOMETRIAE DEDICATA, cilt.108, sa.1, ss.131-140, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 108 Konu: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1007/s10711-004-9648-6
  • Dergi Adı: GEOMETRIAE DEDICATA
  • Sayfa Sayıları: ss.131-140

Özet

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.