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Published May 2014 | public
Journal Article

Exterior powers of π-divisible modules over fields

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

Created:
August 22, 2023
Modified:
October 26, 2023