Perrin-Riou's main conjecture for elliptic curves at supersingular primes
From MaRDI portal
Publication:6557886
DOI10.1007/S00208-023-02711-WMaRDI QIDQ6557886
Publication date: 18 June 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Special values of anticyclotomic Rankin-Selberg \(L\)-functions
- Heegner cycles and \(p\)-adic \(L\)-functions
- \(p\)-adic \(L\)-functions for CM fields
- Anticyclotomic Iwasawa theory of CM elliptic curves
- The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions
- Heegner points and derivatives of \(L\)-series
- A \(p\)-adic measure attached to the zeta functions associated with two elliptic modular forms. II
- Iwasawa theory of \(p\)-adic representations over a local field
- Iwasawa theory for elliptic curves at supersingular primes
- On the Iwasawa invariants of elliptic curves
- The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one
- The weight in Serre's conjectures on modular forms
- On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
- Iwasawa theory of Heegner points on abelian varieties of \(\text{GL}_2\) type
- Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
- Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
- Heegner point Kolyvagin system and Iwasawa main conjecture
- On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
- \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves
- Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions
- A proof of Perrin-Riou's Heegner point main conjecture
- 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
- The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
- Integrality of a ratio of Petersson norms and level-lowering congruences
- Signed-Selmer Groups over the ℤ2p-extension of an Imaginary Quadratic Field
- Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
- ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
- On anticyclotomic μ-invariants of modular forms
- The parity conjecture for elliptic curves at supersingular reduction primes
- Euler systems for modular forms over imaginary quadratic fields
- Tate–Shafarevich groups in anticyclotomic ℤp-extensions at supersingular primes
- Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
- Kolyvagin systems
- The Heegner point Kolyvagin system
- The Gross-Zagier Formula on Shimura Curves
- Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)
- Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules
- THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES
- Shimura Curves and Special Values of p-adic L-functions
- INDIVISIBILITY OF HEEGNER CYCLES OVER SHIMURA CURVES AND SELMER GROUPS
This page was built for publication: Perrin-Riou's main conjecture for elliptic curves at supersingular primes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6557886)