Canonical subgroups via Breuil-Kisin modules

Shin Hattori

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.

Original languageEnglish
Pages (from-to)933-953
Number of pages21
JournalMathematische Zeitschrift
Volume274
Issue number3-4
DOIs
Publication statusPublished - Aug 1 2013

Fingerprint

Subgroup
Module
Valuation
Closed
Standards

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Canonical subgroups via Breuil-Kisin modules. / Hattori, Shin.

In: Mathematische Zeitschrift, Vol. 274, No. 3-4, 01.08.2013, p. 933-953.

Research output: Contribution to journal › Article

Hattori, S 2013, 'Canonical subgroups via Breuil-Kisin modules', Mathematische Zeitschrift, vol. 274, no. 3-4, pp. 933-953. https://doi.org/10.1007/s00209-012-1102-0
Hattori S. Canonical subgroups via Breuil-Kisin modules. Mathematische Zeitschrift. 2013 Aug 1;274(3-4):933-953. https://doi.org/10.1007/s00209-012-1102-0
Hattori, Shin. / Canonical subgroups via Breuil-Kisin modules. In: Mathematische Zeitschrift. 2013 ; Vol. 274, No. 3-4. pp. 933-953.
@article{6becef105b934d3498f3d73dabf6183d,
title = "Canonical subgroups via Breuil-Kisin modules",
abstract = "Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.",
author = "Shin Hattori",
year = "2013",
month = "8",
day = "1",
doi = "10.1007/s00209-012-1102-0",
language = "English",
volume = "274",
pages = "933--953",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "3-4",

}

TY - JOUR

T1 - Canonical subgroups via Breuil-Kisin modules

AU - Hattori, Shin

PY - 2013/8/1

Y1 - 2013/8/1

N2 - Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.

AB - Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.

UR - http://www.scopus.com/inward/record.url?scp=84880586327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880586327&partnerID=8YFLogxK

U2 - 10.1007/s00209-012-1102-0

DO - 10.1007/s00209-012-1102-0

M3 - Article

AN - SCOPUS:84880586327

VL - 274

SP - 933

EP - 953

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 3-4

ER -

Access to Document