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 language | English (US) |
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Pages (from-to) | 199-218 |
Number of pages | 20 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Issue number | 681 |
DOIs | |
State | Published - Aug 2013 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics