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arXiv · 1106.1936

The Shafarevich-Tate group in cyclotomic Z_p-extensions at supersingular primes

Florian Sprung
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Abstract

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

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Florian Sprung. 2011-06-10. The Shafarevich-Tate group in cyclotomic Z_p-extensions at supersingular primes. https://arxiv.org/abs/1106.1936

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