Compactification of configuration spaces via Hilbert schemes
| dc.creator | Evain, Laurent | |
| dc.date | 2001-07-05 | |
| dc.date.accessioned | 2026-07-07T04:42:30Z | |
| dc.date.available | 2026-07-07T04:42:30Z | |
| dc.description | Let F(X,n):= X^n-Δbe the complementary of the union Δof the diagonals of X^n and let U be a quotient of F(X,n) (possibly trivial) by a subgroup of the symmetric group S_n. We construct compactifications of U in products of Hilbert schemes. Our approach generalizes and unifies classical constructions by Schubert-Semple, Le Barz-Keel, Kleiman and Cheah. An extensive study is done in the case n<4. This includes in particular a complete classification and a description of the quotients by the natural actions. | |
| dc.description | 34 pages, in french | |
| dc.identifier | https://arxiv.org/abs/math/0107041 | |
| dc.identifier | http://arxiv.org/abs/math/0107041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61807 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05 | |
| dc.title | Compactification of configuration spaces via Hilbert schemes | |
| dc.type | text |