Rubin's conjecture on local units in the anticyclotomic tower at inert primes
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Publication:2058616
DOI10.4007/annals.2021.194.3.8zbMath1487.11100OpenAlexW3211807101WikidataQ113692557 ScholiaQ113692557MaRDI QIDQ2058616
Ashay A. Burungale, Kazuto Ota, Shin-ichi Kobayashi
Publication date: 9 December 2021
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://authors.library.caltech.edu/112316/
Complex multiplication and moduli of abelian varieties (11G15) Iwasawa theory (11R23) Elliptic curves over local fields (11G07)
Related Items (3)
Supersingular elliptic curves over \(\mathbb{Z}_p\)-extensions ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes
Cites Work
- Anticyclotomic Iwasawa theory of CM elliptic curves. II
- On canonical and quasi-canonical liftings
- Local units, elliptic units, Heegner points and elliptic curves
- Nonsingular plane cubic curves over finite fields
- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication
- On norm maps for one dimensional formal groups. III
- Iwasawa theory of \(p\)-adic representations over a local field
- Iwasawa theory for elliptic curves at supersingular primes
- On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I.
- On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
- Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
- On CM Abelian varieties over imaginary quadratic fields
- Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
- Selmer groups and the indivisibility of Heegner points
- A converse to a theorem of Gross, Zagier, and Kolyvagin
- \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin
- Fake CM and the stable model of \(X_ 0(Np^ 3)\)
- Divisibility of anticyclotomic \(L\)-functions and theta functions with complex multiplication
- Arithmetic Moduli of Elliptic Curves. (AM-108)
- Root Numbers of Hecke L-Functions of CM Fields
- Explicit reciprocity law and formal moduli for Lubin-Tate formal groups
- Arithmétique des courbes elliptiques à réduction supersingulière enp
- Euler Systems
- Anticyclotomic main conjectures for CM modular forms
- On the Birch and Swinnerton-Dyer conjecture
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