Crystalline Dieudonné theory over excellent schemes

A. J. De Jong; W. Messing

doi:10.24033/bsmf.2351

Crystalline Dieudonné theory over excellent schemes

A. J. De Jong, W. Messing

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We write double-struck D for the crystalline Dieudonné module functor on p-divisible groups over a base S of characteristic p. The main results are: the full faithfulness of double-struck D over excellent local complete intersection schemes, and the full faithfulness of double-struck D up to isogeny when S is local excellent. We make use of the desingularization of D. Pospescu and the extension theorem of A.J. de Jong.

Original language	English (US)
Pages (from-to)	333-348
Number of pages	16
Journal	Bulletin de la Societe Mathematique de France
Volume	127
Issue number	2
DOIs	https://doi.org/10.24033/bsmf.2351
State	Published - 1999

Keywords

Barsotti-Tate groups
Crystalline Dieudonné module theory
p-divisible groups

Access

10.24033/bsmf.2351

OpenUrl availability

Full text

Cite this

@article{8d0e4fe90b9d49b989a76d52ca36c723,

title = "Crystalline Dieudonn{\'e} theory over excellent schemes",

abstract = "We write double-struck D for the crystalline Dieudonn{\'e} module functor on p-divisible groups over a base S of characteristic p. The main results are: the full faithfulness of double-struck D over excellent local complete intersection schemes, and the full faithfulness of double-struck D up to isogeny when S is local excellent. We make use of the desingularization of D. Pospescu and the extension theorem of A.J. de Jong.",

keywords = "Barsotti-Tate groups, Crystalline Dieudonn{\'e} module theory, p-divisible groups",

author = "{De Jong}, {A. J.} and W. Messing",

year = "1999",

doi = "10.24033/bsmf.2351",

language = "English (US)",

volume = "127",

pages = "333--348",

journal = "Bulletin de la Societe Mathematique de France",

issn = "0037-9484",

publisher = "Societe Mathematique de France",

number = "2",

}

TY - JOUR

T1 - Crystalline Dieudonné theory over excellent schemes

AU - De Jong, A. J.

AU - Messing, W.

PY - 1999

Y1 - 1999

N2 - We write double-struck D for the crystalline Dieudonné module functor on p-divisible groups over a base S of characteristic p. The main results are: the full faithfulness of double-struck D over excellent local complete intersection schemes, and the full faithfulness of double-struck D up to isogeny when S is local excellent. We make use of the desingularization of D. Pospescu and the extension theorem of A.J. de Jong.

AB - We write double-struck D for the crystalline Dieudonné module functor on p-divisible groups over a base S of characteristic p. The main results are: the full faithfulness of double-struck D over excellent local complete intersection schemes, and the full faithfulness of double-struck D up to isogeny when S is local excellent. We make use of the desingularization of D. Pospescu and the extension theorem of A.J. de Jong.

KW - Barsotti-Tate groups

KW - Crystalline Dieudonné module theory

KW - p-divisible groups

UR - http://www.scopus.com/inward/record.url?scp=0042726962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042726962&partnerID=8YFLogxK

U2 - 10.24033/bsmf.2351

DO - 10.24033/bsmf.2351

M3 - Article

AN - SCOPUS:0042726962

SN - 0037-9484

VL - 127

SP - 333

EP - 348

JO - Bulletin de la Societe Mathematique de France

JF - Bulletin de la Societe Mathematique de France

IS - 2

ER -

Crystalline Dieudonné theory over excellent schemes

Abstract

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this