On the projective geometry of rational homogeneous varieties

Commentarii Mathematici Helvetici - Tập 78 - Trang 65-100 - 2003
J.M. Landsberg1, L. Manivel2
1School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA , , US
2Institut Fourier, UMR 5582 du CNRS, Université Grenoble I, BP 74, 38402 Saint Martin d'Hères cedex, France , , FR

Tóm tắt

We determine the varieties of linear spaces on rational homogeneous varieties, provide explicit geometric models for these spaces, and establish basic facts about the local differential geometry of rational homogeneous varieties.