Serre-Tate Theory for Moduli Spaces of PEL Type
| dc.creator | Moonen, Ben | |
| dc.date | 2002-03-28 | |
| dc.date | 2002-08-22 | |
| dc.date.accessioned | 2026-07-07T04:47:20Z | |
| dc.date.available | 2026-07-07T04:47:20Z | |
| dc.description | The main goal of this paper is to generalize Serre-Tate theory of "ordinary" local moduli to Shimura varieties of PEL type. To this end we develop a generalized notion of ordinariness, we prove a number of basic results about this, and we study the formal deformations of ordinary objects. In general, the formal deformation spaces get a new "group-like" structure that we call a "cascade". Further the paper contains some results on the Ekedahl-Oort stratification of PEL moduli spaces, and an application of our results to the study of congruence relations. | |
| dc.description | Plain TeX, 44 pages. This is a completely revised version of our March 2002 preprint; part of the results are now given in a separate paper (math.AG/0208161) | |
| dc.identifier | https://arxiv.org/abs/math/0203288 | |
| dc.identifier | http://arxiv.org/abs/math/0203288 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63672 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G35, 14K10, 14L05, 14L15 | |
| dc.title | Serre-Tate Theory for Moduli Spaces of PEL Type | |
| dc.type | text |