Algebraic (geometric) $n$-stacks
| dc.creator | Simpson, Carlos | |
| dc.date | 1996-09-17 | |
| dc.date.accessioned | 2026-07-07T09:06:59Z | |
| dc.date.available | 2026-07-07T09:06:59Z | |
| dc.description | We propose a generalization of Artin's definition of algebraic stack, which we call {\em geometric $n$-stack}. The main observation is that there is an inductive structure to the definition whereby the ingredients for the definition of geometric $n$-stack involve only $n-1$-stacks and so are already previously defined. We use this inductive structure to obtain some basic properties. We look at maps from a projective variety into certain such $n$-stacks, and obtain an interpretation of the Brill-Noether locus as the set of points of a geometric $n$-stack. At the end we explain how this provides a context for looking at de Rham theory for higher nonabelian cohomology, how one can define the Hodge filtration and so on. | |
| dc.description | LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9609014 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9609014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150209 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Algebraic (geometric) $n$-stacks | |
| dc.type | text |