On anticyclotomic μ-invariants of modular forms
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Publication:3094093
DOI10.1112/S0010437X11005318zbMath1259.11101arXivmath/0610694OpenAlexW2059106953MaRDI QIDQ3094093
Publication date: 21 October 2011
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610694
Related Items (37)
Inner product formula for Yoshida lifts ⋮ Big Heegner points and special values of \(L\)-series ⋮ Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formula ⋮ On the nonvanishing of generalised Kato classes for elliptic curves of rank 2 ⋮ Special values of anticyclotomic \(L\)-functions for modular forms ⋮ On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms ⋮ An explicit comparison of anticyclotomic p-adic L-functions for Hida families ⋮ 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 ⋮ 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 Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ Cotorsion of anti-cyclotomic Selmer groups on average ⋮ Structure of fine Selmer groups over -extensions ⋮ 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 ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ Special values of anticyclotomic \(L\)-functions modulo \(\lambda\) ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ On the structure of Selmer groups of \(p\)-ordinary modular forms over \(\mathbb{Z}_{p}\)-extensions ⋮ \(p\)-adic interpolation of automorphic periods for GL\(_2\) ⋮ Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case ⋮ Plus/minus Selmer groups and anticyclotomic \(\mathbb{Z}_p\)-extensions ⋮ Variation of the algebraic λ-invariant over a solvable extension ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations ⋮ On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes ⋮ Quantitative level lowering for Galois representations ⋮ Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes ⋮ On the anticyclotomic Iwasawa main conjecture for modular forms ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves ⋮ On the freeness of anticyclotomic Selmer groups of modular forms ⋮ Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture ⋮ Rank parity for congruent supersingular elliptic curves
Cites Work
- Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
- Variation of Iwasawa invariants in Hida families
- The Manin constant. (With an appendix by J. Cremona)
- Heegner points, \(p\)-adic \(L\)-functions, and the Cherednik-Drinfeld uniformization
- Iwasawa theory for elliptic curves at supersingular primes
- On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
- On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle)
- On the Iwasawa invariants of elliptic curves
- Uniform distribution of Heegner points.
- Mazur's conjecture on higher Heegner points.
- On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
- Special values of anticyclotomic \(L\)-functions.
- Modular elliptic curves and Fermat's Last Theorem
- Canonical periods and congruence formulae
- On maps between modular Jacobians and Jacobians of Shimura curves
- Iwasawa invariants of Galois deformations
- The μ-invariant of anticyclotomic L-functions of imaginary quadratic fields
- Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
- Modules of Congruence of Hecke Algebras and L-Functions Associated with Cusp Forms
- Parametrizations of elliptic curves by Shimura curves and by classical modular curves
- The modular degree and the congruence number of a weight 2 cusp form
- THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES
- Degrees of parametrizations of elliptic curves by Shimura curves
- Heegner points on Mumford-Tate curves
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