Abstract
Let X be a homogeneous variety under a group G. We study maximal orbits of X under the action of a parabolic subgroup of G. We describe them as affine and projective fibrations. This description enables us to show that the Hubert scheme of smooth rational curves with fixed class is non empty and irreducible.
| Translated title of the contribution | Rational curves on homogeneous varieties |
|---|---|
| Original language | French |
| Pages (from-to) | 105-132+VI+X |
| Journal | Annales de l'Institut Fourier |
| Volume | 52 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2002 |
| Externally published | Yes |