On homotopy groups of real algebraic varieties and their complexifications

被引：0

作者：

Ozan, Y ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

GEOMETRIAE DEDICATA | 2004年 / 108卷 / 01期

关键词：

real algebraic varieties; homotopy groups; rational homotopy theory;

D O I：

10.1007/s10711-004-9648-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：131 / 140

页数：10

共 14 条

[1]

AKBULUT S, 1978, MSRI BOOK SERIES

[2]

[Anonymous], 1992, SINGULARITIES TOPOLO

[3] Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant [J].