Cellular decompositions of compactified moduli spaces of pointed curves
| dc.creator | Looijenga, Eduard | |
| dc.date | 1994-12-05 | |
| dc.date.accessioned | 2026-07-07T09:06:19Z | |
| dc.date.available | 2026-07-07T09:06:19Z | |
| dc.description | To a closed connected oriented surface $S$ of genus $g$ and a nonempty finite subset $P$ of $S$ is associated a simplicial complex (the arc complex) that plays a basic r\^ ole in understanding the mapping class group of the pair $(S,P)$. It is known that this arc complex contains in a natural way the product of the Teichmüller space of $(S,P)$ with an open simplex. In this paper we give an interpretation for the whole arc complex and prove that it is a quotient of a Deligne--Mumford extension of this Teichmüller space and a closed simplex. We also describe a modification of the arc complex in the spirit of Deligne--Mumford. | |
| dc.description | 28 pages, amstex2.1, 5 figures available from author | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9412002 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9412002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149963 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Cellular decompositions of compactified moduli spaces of pointed curves | |
| dc.type | text |