Hedayatzadeh, S. Mohammad Hadi (2014) Exterior powers of π-divisible modules over fields. Journal of Number Theory, 138 . pp. 119-174. ISSN 0022-314X. doi:10.1016/j.jnt.2013.10.023. https://resolver.caltech.edu/CaltechAUTHORS:20140410-111346394
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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.
| Item Type: | Article | |||||||||
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| 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. | |||||||||
| Subject Keywords: | p-divisible group; Barsotti–Tate group; Dieudonné theory; Exterior power | |||||||||
| DOI: | 10.1016/j.jnt.2013.10.023 | |||||||||
| Record Number: | CaltechAUTHORS:20140410-111346394 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140410-111346394 | |||||||||
| Official Citation: | S. Mohammad Hadi Hedayatzadeh, Exterior powers of π-divisible modules over fields, Journal of Number Theory, Volume 138, May 2014, Pages 119-174, ISSN 0022-314X, http://dx.doi.org/10.1016/j.jnt.2013.10.023. (http://www.sciencedirect.com/science/article/pii/S0022314X14000183) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 44855 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 10 Apr 2014 19:59 | |||||||||
| Last Modified: | 10 Nov 2021 16:57 |
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