The correspondence between Barsotti-Tate groups and Kisin modules when p = 2

Tong Liu[1]

  • [1] Department of Mathematics Purdue University West Lafayette, 47907, USA.

Journal de Théorie des Nombres de Bordeaux (2013)

  • Volume: 25, Issue: 3, page 661-676
  • ISSN: 1246-7405

Abstract

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Let K be a finite extension over ℚ 2 and 𝒪 K the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over 𝒪 K .

How to cite

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Liu, Tong. "The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$." Journal de Théorie des Nombres de Bordeaux 25.3 (2013): 661-676. <http://eudml.org/doc/275747>.

@article{Liu2013,
abstract = {Let $K$ be a finite extension over $\mathbb\{Q\}_2$ and $\mathcal\{O\}_K$ the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over $\mathcal\{O\}_K$.},
affiliation = {Department of Mathematics Purdue University West Lafayette, 47907, USA.},
author = {Liu, Tong},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
month = {11},
number = {3},
pages = {661-676},
publisher = {Société Arithmétique de Bordeaux},
title = {The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$},
url = {http://eudml.org/doc/275747},
volume = {25},
year = {2013},
}

TY - JOUR
AU - Liu, Tong
TI - The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2013/11//
PB - Société Arithmétique de Bordeaux
VL - 25
IS - 3
SP - 661
EP - 676
AB - Let $K$ be a finite extension over $\mathbb{Q}_2$ and $\mathcal{O}_K$ the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over $\mathcal{O}_K$.
LA - eng
UR - http://eudml.org/doc/275747
ER -

References

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