On reduction of Hilbert-Blumenthal varieties
| dc.creator | Yu, Chia-Fu | |
| dc.date | 2002-09-11 | |
| dc.date | 2003-07-28 | |
| dc.date.accessioned | 2026-07-07T04:50:44Z | |
| dc.date.available | 2026-07-07T04:50:44Z | |
| dc.description | Let $O_F$ be the ring of integers of a totally real field $F$ of degree $g$. We study the reduction of the moduli space of separably polarized abelian $O_F$-varieties of dimension $g$ modulo $p$ for a fixed prime $p$. The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by $a$-numbers on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [GO, J. Alg. Geom. 2000] on the stratifications when $p$ is unramified in $O_F$. We also prove the strong Grothendieck conjecture for the moduli space in some restricted cases, particularly when $p$ is totally ramified in $O_F$. | |
| dc.description | A shortened revised version | |
| dc.identifier | https://arxiv.org/abs/math/0209114 | |
| dc.identifier | http://arxiv.org/abs/math/0209114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64902 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | On reduction of Hilbert-Blumenthal varieties | |
| dc.type | text |