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Izvestiya: Mathematics, 2006, Volume 70, Issue 4, Pages 661–691
DOI: https://doi.org/10.1070/IM2006v070n04ABEH002323 (Mi im691) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of Abelian varieties

M. V. Bondarko
English version PDF (503 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2006v070n04ABEH002323
Abstract: We study the generic fibre functor for finite group schemes over the rings of integers of complete discrete valuation fields. We prove that it is “almost full”. Whence we deduce a “finite wild” criterion for good reduction of Abelian varieties.
Keywords: Group scheme, Cartier-Dieudonne module, formal group, complete discrete valuation field, generic fibre.
Received: 31.05.2004
Revised: 30.09.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 4, Pages 21–52
DOI: https://doi.org/10.4213/im691
Bibliographic databases:
UDC: 512.741.5, 512.742.7, 512.645
MSC: 14L15, 14L05, 13F30, 11G10, 11S13
Language: English
Original paper language: Russian
Citation: M. V. Bondarko, “The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of Abelian varieties”, Izv. RAN. Ser. Mat., 70:4 (2006), 21–52; Izv. Math., 70:4 (2006), 661–691
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:223
    English version PDF:36
    References:54
    First page:5
     
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