Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions
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Publication:6065299
DOI10.1016/j.aim.2023.109320arXiv2203.14164MaRDI QIDQ6065299
Meng Fai Lim, Katharina Müller, Antonio Lei
Publication date: 14 November 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.14164
Elliptic curves over global fields (11G05) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)
Cites Work
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- Special values of anticyclotomic Rankin-Selberg \(L\)-functions
- Heegner cycles and \(p\)-adic \(L\)-functions
- Anticyclotomic Iwasawa theory of CM elliptic curves. II
- Iwasawa theory for elliptic curves at supersingular primes
- On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I.
- The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one
- An algebraic version of a theorem of Kurihara
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Special values of anticyclotomic \(L\)-functions.
- Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
- Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists
- On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture
- \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves
- On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions
- A proof of Perrin-Riou's Heegner point main conjecture
- Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes
- Rational points of Abelian varieties with values in towers of number fields
- The Šafarevič–Tate group in cyclotomic ℤp-extensions at supersingular primes
- ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
- Iwasawa theory for modular forms at supersingular primes
- Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
- The parity conjecture for elliptic curves at supersingular reduction primes
- Tate–Shafarevich groups in anticyclotomic ℤp-extensions at supersingular primes
- Kolyvagin's work and anticyclotomic tower fields: the supersingular case
- Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)
- Structure of the Mordell-Weil group over the ℤ_{𝕡}-extensions
- Shimura Curves and Special Values of p-adic L-functions
- Heegner points on Mumford-Tate curves
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