On the moduli space of deformations of a p-divisible group

Oleg Demchenko; Alexander Gurevich

doi:10.4310/MRL.2014.v21.n5.a6

On the moduli space of deformations of a p-divisible group

Oleg Demchenko, Alexander Gurevich

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

Let G be a connected p-divisible group of height h and dimension d over a perfect field k, and O denote the ring of Witt vectors over k. It is a well-known fact that the deformation functor DefG is representable by Spf OO[[t₁,t_d(h-d)]]. Following Hazewinkel's philosophy we construct explicitly a family of universal deformations of G.

Original language	English
Pages (from-to)	1015-1045
Number of pages	31
Journal	Mathematical Research Letters
Volume	21
Issue number	5
DOIs	https://doi.org/10.4310/MRL.2014.v21.n5.a6
State	Published - 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/MRL.2014.v21.n5.a6

Cite this

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abstract = "Let G be a connected p-divisible group of height h and dimension d over a perfect field k, and O denote the ring of Witt vectors over k. It is a well-known fact that the deformation functor DefG is representable by Spf OO[[t1,td(h-d)]]. Following Hazewinkel's philosophy we construct explicitly a family of universal deformations of G.",

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AU - Gurevich, Alexander

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AB - Let G be a connected p-divisible group of height h and dimension d over a perfect field k, and O denote the ring of Witt vectors over k. It is a well-known fact that the deformation functor DefG is representable by Spf OO[[t1,td(h-d)]]. Following Hazewinkel's philosophy we construct explicitly a family of universal deformations of G.

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U2 - 10.4310/MRL.2014.v21.n5.a6

DO - 10.4310/MRL.2014.v21.n5.a6

M3 - مقالة

SN - 1073-2780

VL - 21

SP - 1015

EP - 1045

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5

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On the moduli space of deformations of a p-divisible group

Abstract

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