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Bounding the Iwasawa invariants of Selmer groups - MaRDI portal

Bounding the Iwasawa invariants of Selmer groups (Q5012470)

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scientific article; zbMATH DE number 7432950

Language	Label	Description	Also known as
English	Bounding the Iwasawa invariants of Selmer groups	scientific article; zbMATH DE number 7432950

Statements

scholarly article

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Bounding the Iwasawa invariants of Selmer groups (English)

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Canadian Journal of Mathematics

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publication date

24 November 2021

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zbMATH Keywords

Fukuda module

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Selmer group

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Mordell-Weil rank

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fine Selmer group

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MaRDI profile type

MaRDI publication profile

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Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions

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Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions

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Galois cohomology of elliptic curves

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THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES

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Remarks on \(\mathbb{Z}_ p\)-extensions of number fields

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The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field

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A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions

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Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields

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On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields

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Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)

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Local behavior of Iwasawa’s invariants

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Local behaviour of generalised Iwasawa invariants

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Generalised Iwasawa invariants and the growth of class numbers

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On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I.

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On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

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CYCLOTOMIC FIELDS AND MODULAR CURVES

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Mordell–Weil ranks of elliptic curves in the cyclotomic ℤ2-extension of the rationals

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Rational points of Abelian varieties with values in towers of number fields

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An algebraic version of a theorem of Kurihara

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On \(L\)-functions of elliptic curves and cyclotomic towers

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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On the rational points of abelian varieties over \({\mathbb{Z}}_ p\)- extensions of number fields

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Iwasawa theory of the fine Selmer group

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Torsion of abelian varieties, Weil classes and cyclotomic extensions

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full work available at URL

https://doi.org/10.4153/s0008414x20000553

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Identifiers

zbMATH Open document ID

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10.4153/S0008414X20000553

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5012470

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