Theoreme de Van Kampen pour les champs algebriques
| dc.creator | Zoonekynd, V. | |
| dc.date | 2001-11-07 | |
| dc.date.accessioned | 2026-07-07T04:44:25Z | |
| dc.date.available | 2026-07-07T04:44:25Z | |
| dc.description | We define a category whose objects are finite etale coverings of an algebraic stack and prove that it is a Galois category and that it allows one to compute the fundamental group of the stack. We then prove a Van Kampen theorem for algebraic stacks whose simplest form reads: Let U and V be open substacks of an algebraic stack X with X = U \union V, let P be a set of base points, at least one in each connected component of X, U, V and U \inter V, then pi_1(X,P) is the amalgamated sum of pi_1(U,P) and pi_1(V,P) over pi_1(U \inter V, P). | |
| dc.description | latex2e with xypic, 42 pages, 1 figure, in French | |
| dc.identifier | https://arxiv.org/abs/math/0111073 | |
| dc.identifier | http://arxiv.org/abs/math/0111073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62583 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Category Theory | |
| dc.subject | 14F35 14A20 (primary) 18B25 20L05 18D05 (secondary) | |
| dc.title | Theoreme de Van Kampen pour les champs algebriques | |
| dc.type | text |