Naumann, Niko (2008) Arithmetically defined dense subgroups of Morava stabilizer groups. COMPOSITIO MATHEMATICA, 144 (1). pp. 247-270. ISSN 0010-437X,
Full text not available from this repository. (Request a copy)Abstract
For every prime p and integer n >= 3 we explicitly construct an abelian variety A/F (n)(p). of dimension n such that for a suitable prime l the group of quasi-isogenies of A/F (n)(p). of l-power degree is canonically a dense subgroup of the nth Morava stabilizer group at p. We also give a variant of this result taking into account a polarization. This is motivated by the recent construction by Behrens and Lawson of topological automorphic forms which generalizes topological modular forms. For this, we prove some arithmetic results of independent interest: a result about approximation of local units in maximal orders of global skew fields which also gives a precise solution to the problem of extending automorphisms of the p-divisible group of a simple abelian variety over a finite field to quasi-isogenies of the abelian variety of degree divisible by as few primes as possible.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K(2)-LOCAL SPHERE; PRIME-3; FIELD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Nov 2020 10:45 |
| Last Modified: | 11 Nov 2020 10:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31603 |
Actions (login required)
 |
View Item |
