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

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

2011-06-10

arxiv.org/abs/1106.1936v1

Mathematics

Number Theory

15 pages. Comments very welcome

Scientific paper

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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