|
|||||
|
|
Inertia groups and abelian surfaces |
|
| Authors: | A. Silverberg Yu. G. Zarhin |
| Affiliation: | a Department of Mathematics, Ohio State University, 231 W. 18 Avenue, Columbus, OH 43210-1174, USA b Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA c Institute for Mathematical Problems in Biology, Russian Academy of Sciences, Pushchino, Moscow Region, Russia |
| Abstract: | This paper classifies the finite groups that occur as inertia groups associated to abelian surfaces. These groups can be viewed as Galois groups for the smallest totally ramified extension over which an abelian surface over a local field acquires semistable reduction. The results extend earlier elliptic curves results of Serre and Kraus. |
| Keywords: | Abelian varieties Inertia groups Semistable reduction |
| 本文献已被 ScienceDirect 等数据库收录！ | |