Group completions via Hilbert schemes
| dc.creator | Brion, Michel | |
| dc.date | 2000-10-23 | |
| dc.date.accessioned | 2026-07-07T04:38:11Z | |
| dc.date.available | 2026-07-07T04:38:11Z | |
| dc.description | Let $X$ be a projective variety, homogeneous under a linear algebraic group. We show that the diagonal of $X$ belongs to a unique irreducible component $H_X$ of the Hilbert scheme of $X\times X$. Moreover, $H_X$ is isomorphic to the ``wonderful completion'' of the connected automorphism group of $X$; in particular, $H_X$ is non-singular. We describe explicitly the degenerations of the diagonal in $X\times X$, that is, the points of $H_X$; these subschemes of $X\times X$ are reduced and Cohen-Macaulay. | |
| dc.description | LaTeX2e, 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010215 | |
| dc.identifier | http://arxiv.org/abs/math/0010215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60181 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05, 14M15 | |
| dc.title | Group completions via Hilbert schemes | |
| dc.type | text |