Topics on the geometry of homogeneous spaces

TL;DR

This survey explores various results in complex algebraic geometry focusing on the role of rational homogeneous spaces, highlighting their significance in the field through a curated selection of literature.

Contribution

The paper provides an overview of key developments related to the geometry of rational homogeneous spaces, emphasizing their importance in complex algebraic geometry.

Findings

Summarizes recent and classical results on homogeneous spaces.

Highlights the significance of rational homogeneous spaces in algebraic geometry.

Provides a curated overview reflecting the author's interests.

Abstract

This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature, and in which rational homogeneous spaces play a prominent r{\^o}le. This selection is largely arbitrary and mainly reflects the interests of the author.