On derivatives of Kato's Euler system for elliptic curves
DOI10.2969/JMSJ/90699069MaRDI QIDQ6610115
David Burns, Masato Kurihara, Takamichi Sano
Publication date: 24 September 2024
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
elliptic curvesderivatives of \(L\)-functionszeta elementsgeneralized Perrin-Riou conjecturehigher rank Rubin's formula
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)
Cites Work
- Title not available (Why is that?)
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- Exceptional zero formulae and a conjecture of Perrin-Riou
- Refined class number formulas for \(\mathbb{G}_m\)
- On zeta elements for \(\mathbb G_m\)
- Analytic families of finite-slope Selmer groups
- Iwasawa L-functions for multiplicative abelian varieties
- On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
- Refined conjectures of the ``Birch and Swinnerton-Dyer type
- Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions)
- A refined conjecture of Mazur-Tate type for Heegner points
- \(p\)-adic \(L\)-functions of an elliptic curve and rational points
- On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I.
- On a construction of \(p\)-units in abelian fields
- p-adic height pairings. I
- Iwasawa L-functions of varieties over algebraic number fields. A first approach
- A proof of the Mahler-Manin conjecture
- The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes
- On Stark elements of arbitrary weight and their \(p\)-adic families
- Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou
- Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou
- \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
- An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves
- On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture
- Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
- On Nekovář's Heights, Exceptional Zeros and a Conjecture of Mazur–Tate–Teitelbaum
- Thaine's Method for Circular Units and a Conjecture of Gross
- On the Theory of Higher Rank Euler, Kolyvagin and Stark Systems
- On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou
- Tamagawa numbers for motives with (non-commutative) coefficients
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