The Abelian Monodromy Extension Property for Families of Curves
| dc.creator | Cautis, Sabin | |
| dc.date | 2007-09-20 | |
| dc.date | 2008-11-12 | |
| dc.date.accessioned | 2026-07-07T10:17:18Z | |
| dc.date.available | 2026-07-07T10:17:18Z | |
| dc.description | Necessary and sufficient conditions are given (in terms of monodromy) for extending a family of smooth curves over an open subset U of S to a family of stable curves over S. More precisely, we introduce the abelian monodromy extension (AME) property and show that the standard Deligne-Mumford compactification is the unique, maximal AME compactification of the moduli space of curves. We also show that the Baily-Borel compactification is the unique, maximal projective AME compactification of the moduli space of abelian varieties. | |
| dc.description | 24 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0709.3320 | |
| dc.identifier | http://arxiv.org/abs/0709.3320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173810 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10; 14D07; 14H30 | |
| dc.title | The Abelian Monodromy Extension Property for Families of Curves | |
| dc.type | text |