The Šafarevič-Tate group in cyclotomic ℤp- extensions at supersingular primes

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4 Scopus citations


We study the asymptotic growth of the p-primary component of the Šafarevič-Tate group in the cyclotomic direction at any odd prime of good supersingular reduction, generalizing work of Kobayashi. As an application, we explain formulas obtained by Kurihara, Perrin-Riou, and Nasybullin in terms of Iwasawa invariants of modified Selmer groups.

Original languageEnglish (US)
Pages (from-to)199-218
Number of pages20
JournalJournal fur die Reine und Angewandte Mathematik
Issue number681
StatePublished - Aug 1 2013
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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