On the anticyclotomic Iwasawa theory of CM forms at supersingular primes

DOI10.4171/RMI/828zbMath1325.11114MaRDI QIDQ2340462

Kâzım Büyükboduk

Publication date: 17 April 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

supersingularCM modular formsanticyclotomic Iwasawa theory

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Elliptic and modular units (11G16)

Related Items (2)

Deformations of Kolyvagin systems ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms

Cites Work

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• On the critical values of Hecke \(L\)-functions for imaginary quadratic fields
• Anticyclotomic Iwasawa theory of CM elliptic curves. II
• Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
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• On Euler systems of rank $r$ and their Kolyvagin systems
• Stark units and the main conjectures for totally real fields
• The Heegner point Kolyvagin system
• On the anticyclotomic Iwasawa main conjecture for modular forms
• Anticyclotomic main conjectures for CM modular forms
• THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES
• Représentations de de Rham et normes universelles
• On the Birch and Swinnerton-Dyer conjecture

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