Heegner point Kolyvagin system and Iwasawa main conjecture
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Publication:1995623
DOI10.1007/s10114-021-8355-7zbMath1464.11116arXiv1408.4043OpenAlexW3123289757WikidataQ123253526 ScholiaQ123253526MaRDI QIDQ1995623
Publication date: 24 February 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.4043
Related Items (13)
The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ On the soft \(p\)-converse to a theorem of Gross-Zagier and Kolyvagin ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ The -adic Gross–Zagier formula on Shimura curves ⋮ ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES ⋮ 2-Selmer groups, 2-class groups and rational points on elliptic curves ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ Kolyvagin systems and Iwasawa theory of generalized Heegner cycles ⋮ Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists ⋮ \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮ On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes ⋮ \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves
Cites Work
- Special values of anticyclotomic Rankin-Selberg \(L\)-functions
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- The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one
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- Modular elliptic curves and Fermat's Last Theorem
- \(p\)-adic Rankin \(L\)-series and rational points on CM elliptic curves
- Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions
- Selmer groups and the indivisibility of Heegner points
- On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields
- A converse to a theorem of Gross, Zagier, and Kolyvagin
- \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin
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- Integrality of a ratio of Petersson norms and level-lowering congruences
- ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
- Bipartite Euler systems
- Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
- Kolyvagin systems
- The Heegner point Kolyvagin system
- Euler Systems
- ON THE -ADIC VARIATION OF HEEGNER POINTS
- Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture
- p-adic heights of Heegner points and Beilinson-Flach classes
- Shimura Curves and Special Values of p-adic L-functions
- The Iwasawa theoretic Gross–Zagier theorem
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