Foliations in moduli spaces of abelian varieties
| dc.creator | Oort, Frans | |
| dc.date | 2002-07-04 | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:15Z | |
| dc.date.available | 2026-07-07T07:41:15Z | |
| dc.description | Consider all moduli points corresponding with polarized abelian varieties in characteristic p such that the associated quasi-polarized p-divisible group is geometrically isomorphic with a given one. This defines a subset C of the moduli space. We show that C is closed in the corresponding open Newton polygon stratum. In this way the stratum is the disjoint union of such "central leaves". Under local-local isogenies we consider the orbit of one point: we obtain a second type of leaves. Every stratum, up to a finite map, is the product of one of its central leaves and one of its isogeny leaves. We expect that these central leaves describe Hecke actions prime to p. | |
| dc.description | 26 pp | |
| dc.identifier | https://arxiv.org/abs/math/0207050 | |
| dc.identifier | http://arxiv.org/abs/math/0207050 | |
| dc.identifier | J. Amer. Math. Soc. 17 (2004), 267-296 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122038 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K10, 14L05 | |
| dc.title | Foliations in moduli spaces of abelian varieties | |
| dc.type | text |