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 language||English (US)|
|Number of pages||20|
|Journal||Journal fur die Reine und Angewandte Mathematik|
|State||Published - Aug 2013|
ASJC Scopus subject areas
- Applied Mathematics