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Théorème de Van Kampen pour les champs algébriques
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zoonekynd, Vincent |
| Copyright Year | 2001 |
| Abstract | 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 U V, let P be a set of base points, at least one in each connected component of X, U, V and U n V, then there is a cocartesian square of fundamental progroupoids Formula math. |
| Starting Page | 101 |
| Ending Page | 145 |
| Page Count | 45 |
| File Format | PDF HTM / HTML |
| DOI | 10.5802/ambp.153 |
| Volume Number | 9 |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0111073v1.pdf |
| Alternate Webpage(s) | http://archive.numdam.org/article/AMBP_2002__9_1_101_0.pdf |
| Alternate Webpage(s) | http://www.numdam.org/article/AMBP_2002__9_1_101_0.pdf |
| Alternate Webpage(s) | https://doi.org/10.5802/ambp.153 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
