NON-COMMUTATIVE p-ADIC L-FUNCTIONS FOR SUPERSINGULAR PRIMES

DOI10.1142/S1793042112501047zbMath1306.11086arXiv1201.1051OpenAlexW2072320355MaRDI QIDQ3165304

Antonio Lei

Publication date: 26 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1051

zbMATH Keywords

elliptic curvesnon-commutative Iwasawa theory\(p\)-adic \(L\)-functionssupersingular primes

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (1)

On the cohomology of Kobayashi’s plus/minus norm groups and applications

Cites Work

• Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures
• On the non-commutative Main Conjecture for elliptic curves with complex multiplication
• Signed Selmer groups over \(p\)-adic Lie extensions
• Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions
• On two variable p-adic L-functions
• Iwasawa theory for elliptic curves at supersingular primes
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Arithmetic of Weil curves
• The main conjecture for CM elliptic curves at supersingular primes
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• Iwasawa theory for modular forms at supersingular primes
• Euler characteristics and elliptic curves. II.

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