SEMISTABLE REDUCTION OF ABELIAN-VARIETIES OVER EXTENSIONS OF SMALL DEGREE

Authors
SILVERBERG A ZARHIN YG
Citation
A. Silverberg et Yg. Zarhin, SEMISTABLE REDUCTION OF ABELIAN-VARIETIES OVER EXTENSIONS OF SMALL DEGREE, Journal of pure and applied algebra, 132(2), 1998, pp. 179-193
Citations number
18
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
132
Issue
2
Year of publication
1998
Pages
179 - 193
Database
ISI
SICI code
0022-4049(1998)132:2<179:SROAOE>2.0.ZU;2-#
Abstract
We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over u nramified extensions. (C) 1998 Elsevier Science B.V. All rights reserv ed.