On the freeness of anticyclotomic Selmer groups of modular forms

DOI10.1142/S1793042117500804zbMath1428.11193OpenAlexW2566743680MaRDI QIDQ5272471

Tom Weston, Chan-Ho Kim, Robert Pollack

Publication date: 29 June 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117500804

zbMATH Keywords

congruencesIwasawa theorymodular formsSelmer groups

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Iwasawa theory (11R23)

Related Items (8)

Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formula ⋮ Variation of anticyclotomic Iwasawa invariants in Hida families ⋮ Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma ⋮ On the quantitative variation of congruence ideals and integral periods of modular forms ⋮ Cotorsion of anti-cyclotomic Selmer groups on average ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights ⋮ A proof of Perrin-Riou's Heegner point main conjecture

Cites Work

• Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
• Derived heights and generalized Mazur-Tate regulators
• On the Iwasawa invariants of elliptic curves
• Anticyclotomic Iwasawa invariants and congruences of modular forms
• On anticyclotomic μ-invariants of modular forms
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
• On the anticyclotomic Iwasawa main conjecture for modular forms

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