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

Florian Sprung

doi:10.1515/crelle-2012-0031

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

Florian Sprung

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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)
Pages (from-to)	199-218
Number of pages	20
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	681
DOIs	https://doi.org/10.1515/crelle-2012-0031
State	Published - Aug 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crelle-2012-0031

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title = "The {\v S}afarevi{\v c}-Tate group in cyclotomic ℤp- extensions at supersingular primes",

abstract = "We study the asymptotic growth of the p-primary component of the {\v S}afarevi{\v c}-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.",

author = "Florian Sprung",

year = "2013",

month = aug,

doi = "10.1515/crelle-2012-0031",

language = "English (US)",

pages = "199--218",

journal = "Journal fur die Reine und Angewandte Mathematik",

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publisher = "Walter de Gruyter GmbH",

number = "681",

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AU - Sprung, Florian

PY - 2013/8

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N2 - 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.

AB - 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.

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U2 - 10.1515/crelle-2012-0031

DO - 10.1515/crelle-2012-0031

M3 - Article

AN - SCOPUS:84881538141

SN - 0075-4102

SP - 199

EP - 218

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 681

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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