Published May 2014
| public
Journal Article
Exterior powers of π-divisible modules over fields
- Creators
- Hedayatzadeh, S. Mohammad Hadi
Abstract
Let O be the ring of integers of a non-Archimedean local field and π a fixed uniformizer of O. We prove that the exterior powers of a π -divisible O-module scheme of dimension at most 1 over a field exist and commute with field extensions. We calculate the height and the dimension of the exterior powers in terms of the height of the given π -divisible O-module scheme.
Additional Information
© 2014 Elsevier Inc. Received 15 May 2013. Received in revised form 23 October 2013. Accepted 29 October 2013. Available online 4 February 2014. Communicated by Urs Hartl.Additional details
- Eprint ID
- 44855
- DOI
- 10.1016/j.jnt.2013.10.023
- Resolver ID
- CaltechAUTHORS:20140410-111346394
- Created
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2014-04-10Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field