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

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3 Citations (Scopus)

Abstract

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
DOIs
StatePublished - Aug 1 2013
Externally publishedYes

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Iwasawa Invariants
Selmer Group
Cyclotomic
Odd

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "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.",
author = "Florian Sprung",
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AB - 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.

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