Canonical subgroups via Breuil-Kisin modules

Shin Hattori

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.

    Original languageEnglish
    Pages (from-to)933-953
    Number of pages21
    JournalMathematische Zeitschrift
    Volume274
    Issue number3-4
    DOIs
    Publication statusPublished - Aug 2013

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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