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Licensed Unlicensed Requires Authentication Published by De Gruyter August 3, 2013

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

  • Florian Sprung EMAIL logo

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.

Received: 2011-06-24
Revised: 2011-12-28
Published Online: 2013-08-03
Published in Print: 2013-08-01

© 2013 by Walter de Gruyter Berlin Boston

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