Canonical subgroups via Breuil-Kisin modules for p = 2

Shin Hattori

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    Let p 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 prove the existence of higher canonical subgroups for G with standard properties if the Hodge height of G is less than 1/(p n -2(p + 1)), including the case of p = 2.

    Original languageEnglish
    Pages (from-to)142-159
    Number of pages18
    JournalJournal of Number Theory
    Volume137
    DOIs
    Publication statusPublished - Apr 2014

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory

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