On the elliptic Stark conjecture at primes of multiplicative reduction
From MaRDI portal
Publication:4972830
DOI10.1512/iumj.2019.68.7704zbMath1471.11192OpenAlexW2972237767WikidataQ123143098 ScholiaQ123143098MaRDI QIDQ4972830
Victor Rotger, Daniele Casazza
Publication date: 27 November 2019
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2117/179487
Holomorphic modular forms of integral weight (11F11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic and modular units (11G16)
Related Items (2)
Generalized Kato classes and exceptional zero conjectures ⋮ On the elliptic Stark conjecture in higher weight
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the eigencurve at classical weight 1 points
- Decomposition of Eisenstein series: Rankin triple products
- \(p\)-adic \(L\)-functions for CM fields
- The Manin constant. (With an appendix by J. Cremona)
- Variation of Heegner points in Hida families
- Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
- Continuous étale cohomology
- On ordinary \(\lambda\)-adic representations associated to modular forms
- \(p\)-adic interpolation of real analytic Eisenstein series
- \(p\)-adic \(L\)-functions of an elliptic curve and rational points
- Heegner points on Hijikata-Pizer-Shemanske curves and the Birch and Swinnerton-Dyer conjecture
- On the triple product formula: real local calculations
- On classical weight one forms in Hida families
- Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
- Kato's Euler system and rational points on elliptic curves. I: A \(p\)-adic Beilinson formula
- The rationality of Stark-Heegner points over genus fields of real quadratic fields
- Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
- Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
- STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
- ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS
- ON THE -ADIC VARIATION OF HEEGNER POINTS
- Beilinson-Flach elements and Euler systems I: Syntomic regulators and 𝑝-adic Rankin 𝐿-series
- Binary theta series and modular forms with complex multiplication
- Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.
This page was built for publication: On the elliptic Stark conjecture at primes of multiplicative reduction