p-adic period map for the moduli space of deformations of a formal group

Oleg Demchenko; Alexander Gurevich

doi:10.1016/j.jalgebra.2004.12.017

p-adic period map for the moduli space of deformations of a formal group

Oleg Demchenko, Alexander Gurevich^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

The moduli space of deformations of a formal group over a finite field is studied. We consider Lubin-Tate and Dieudonné approaches and find an explicit relation between them employing Hazewinkel's universal p-typical formal group, Honda's theory and rigid power series. The formula obtained allows to give an explicit description of the action of the automorphism group of the formal group on the moduli space. It essentially generalizes an analogous result of Gross and Hopkins [Contemp. Math. 158 (1994) 23-88].

Original language	English
Pages (from-to)	445-462
Number of pages	18
Journal	Journal of Algebra
Volume	288
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2004.12.017
State	Published - 15 Jun 2005
Externally published	Yes

Keywords

Deformations of formal groups
p-adic period maps

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10.1016/j.jalgebra.2004.12.017

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abstract = "The moduli space of deformations of a formal group over a finite field is studied. We consider Lubin-Tate and Dieudonn{\'e} approaches and find an explicit relation between them employing Hazewinkel's universal p-typical formal group, Honda's theory and rigid power series. The formula obtained allows to give an explicit description of the action of the automorphism group of the formal group on the moduli space. It essentially generalizes an analogous result of Gross and Hopkins [Contemp. Math. 158 (1994) 23-88].",

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AB - The moduli space of deformations of a formal group over a finite field is studied. We consider Lubin-Tate and Dieudonné approaches and find an explicit relation between them employing Hazewinkel's universal p-typical formal group, Honda's theory and rigid power series. The formula obtained allows to give an explicit description of the action of the automorphism group of the formal group on the moduli space. It essentially generalizes an analogous result of Gross and Hopkins [Contemp. Math. 158 (1994) 23-88].

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KW - p-adic period maps

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p-adic period map for the moduli space of deformations of a formal group

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Keywords

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