Bipartite Euler systems

DOI10.1515/CRELLE.2006.062zbMath1127.11072arXiv1202.6353OpenAlexW2069630871MaRDI QIDQ3413788

Benjamin Howard

Publication date: 18 December 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6353

zbMATH Keywords

Iwasawa main conjectureEuler Systems

Mathematics Subject Classification ID

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

Related Items (10)

Euler systems for modular forms over imaginary quadratic fields ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ Arithmetic level raising on triple product of Shimura curves and Gross-Schoen diagonal cycles. I: Ramified case ⋮ Some remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplication ⋮ INDIVISIBILITY OF HEEGNER CYCLES OVER SHIMURA CURVES AND SELMER GROUPS ⋮ On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ Heegner point Kolyvagin system and Iwasawa main conjecture ⋮ On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture

Cites Work

• Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
• Mazur's conjecture on higher Heegner points.
• Iwasawa theory of Heegner points on abelian varieties of \(\text{GL}_2\) type
• Euler Systems and Jochnowitz Congruences
• The Heegner point Kolyvagin system

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