M. V. Bondarko, “The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of Abelian varieties”, Izv. RAN. Ser. Mat., 2006, Volume 70, Issue 4,Pages <nobr>21

This article is cited in 6 papers

The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of Abelian varieties

M. V. Bondarko

Abstract: We study the generic fibre functor for finite group schemes over the rings of integers of complete discrete valuation fields. We prove that it is “almost full”. Whence we deduce a “finite wild” criterion for good reduction of Abelian varieties.

Keywords: Group scheme, Cartier-Dieudonne module, formal group, complete discrete valuation field, generic fibre.

UDC: 512.741.5, 512.742.7, 512.645

MSC: 14L15, 14L05, 13F30, 11G10, 11S13

Received: 31.05.2004
Revised: 30.09.2005

DOI: 10.4213/im691