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Additive extensions of a Barsotti-Tate group

Mantovan, Elena (1998) Additive extensions of a Barsotti-Tate group. Rendiconti del Seminario Matematico della Università di Padova, 99 . pp. 161-185. ISSN 0041-8994. http://resolver.caltech.edu/CaltechAUTHORS:20150424-133320556

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Abstract

In this paper we classify up to isomorphism the additive extensions of a Barsotti-Tate group, in positive characteristic p over a perfect field k and in characteristic 0 over W(k) the ring of Witt vectors with coefficients in k. The extensions arise as group functors associated to suitable submodules of the Dieudonné module. In particular we give an explicit description of the universal additive extension in both cases.


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Additional Information:© 1998 Università di Padova. Manuscritto pervenuto in redazione il 12 Iuglio 1996.
Record Number:CaltechAUTHORS:20150424-133320556
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150424-133320556
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56964
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Deposited By: George Porter
Deposited On:24 Apr 2015 20:51
Last Modified:24 Apr 2015 20:51

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