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Sbornik: Mathematics, 2017, Volume 208, Issue 6, Pages 764–790
DOI: https://doi.org/10.1070/SM8730 (Mi sm8730) 		 
The universal deformation of the Witt ring scheme

Christopher Deningera, Young-Tak Ohb

a Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Germany
b Department of Mathematics, Sogang University, Seoul, Republic of Korea (South)
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DOI: https://doi.org/10.1070/SM8730
Abstract: We determine the universal deformation over reduced base rings of the Witt ring scheme enhanced by a Frobenius lift and Verschiebung. It agrees with a $q$-deformation introduced earlier by the second author; we also give a simpler description for this. In the appendix we discuss a Witt vector theory for ind-rings which may be of independent interest.
Bibliography: 7 titles.
Keywords: Witt ring, $q$-deformation.
Funding agency Grant number
Deutsche Forschungsgemeinschaft SFB 878
National Research Foundation of Korea R1D1-A1A01056670
C. Deninger's research was supported by SFB 878. Y.-T. Oh's research was supported by NRF 2015 R1D1-A1A01056670.
Received: 06.05.2016 and 31.08.2016
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 6, Pages 26–54
DOI: https://doi.org/10.4213/sm8730
Bibliographic databases:
Document Type: Article
UDC: 512.55+511
MSC: 13F35, 14L15
Language: English
Original paper language: Russian
Citation: Christopher Deninger, Young-Tak Oh, “The universal deformation of the Witt ring scheme”, Mat. Sb., 208:6 (2017), 26–54; Sb. Math., 208:6 (2017), 764–790
Citation in format AMSBIB
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