On order of vanishing of characteristic elements

DOI10.1515/forum-2021-0289OpenAlexW3197125460MaRDI QIDQ2155621

Meng Fai Lim

Publication date: 15 July 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03985

zbMATH Keywords

Selmer groupscharacteristic elementorder of vanishing

Mathematics Subject Classification ID

Galois cohomology (11S25) Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Cites Work

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• Transition formulae for ranks of abelian varieties
• On main conjectures in non-commutative Iwasawa theory and related conjectures
• \(p\)-adic height pairings. II
• Completed group algebras without zero divisors
• Iwasawa theory and \(p\)-adic heights
• Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory
• Completely faithful Selmer groups over Kummer extensions
• Notes on the fine Selmer groups
• Comparing the \(\pi\)-primary submodules of the dual Selmer groups
• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations.
• The localization sequence in \(K\)-theory
• A proof of the Mahler-Manin conjecture
• Kummer theory for abelian varieties over local fields
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• A generalization of a theorem of Imai and its applications to Iwasawa theory
• Toward equivariant Iwasawa theory. II.
• Rational points of Abelian varieties with values in towers of number fields
• \(K_1\) of some non-commutative completed group rings
• On the growth of Mordell-Weil ranks in \(p\)-adic Lie extensions
• On the M_H(G)-conjecture
• A remark on the 𝔐_H(G)-conjecture and Akashi series
• On descent theory and main conjectures in non-commutative Iwasawa theory
• Akashi series of Selmer groups
• Localizations and completions of skew power series rings
• Iwasawa theory of the fine Selmer group
• Computations in non-commutative Iwasawa theory
• Root numbers, Selmer groups, and non-commutative Iwasawa theory
• Generalised Euler characteristics of Selmer groups
• MODULES OVER IWASAWA ALGEBRAS
• Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction
• On a Localisation Sequence for the K-Theory of Skew Power Series Rings
• Heegner Points over Towers of Kummer Extensions
• $\mathfrak{M}_H(G)$-property and congruence of Galois representations
• Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction
• Characteristic elements in noncommutative Iwasawa theory
• Root numbers of non-abelian twists of elliptic curves
• Galois cohomology of elliptic curves

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