Stark–Heegner cycles attached to Bianchi modular forms
From MaRDI portal
Publication:4957089
DOI10.1112/jlms.12438zbMath1490.11055arXiv1910.14581OpenAlexW3121376927MaRDI QIDQ4957089
Guhan Venkat, Chris J. K. Williams
Publication date: 3 September 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14581
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Zeta functions and (L)-functions (11S40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items
Big principal series, -adic families and -invariants, Parabolic eigenvarieties via overconvergent cohomology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modular \(p\)-adic \(L\)-functions attached to real quadratic fields and arithmetic applications
- \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
- \(\mathcal L\)-invariants and Darmon cycles attached to modular forms
- Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
- Stark-Heegner points on elliptic curves defined over imaginary quadratic fields
- Stark-Heegner points and the cohomology of quaternionic Shimura varieties
- Heegner points and derivatives of \(L\)-series
- Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
- \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II
- On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
- Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms
- \(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture
- Functoriality of automorphic \(L\)-invariants and applications
- \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
- The rationality of Stark-Heegner points over genus fields of real quadratic fields
- On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms
- Heegner cycles and derivatives of \(p\)-adic \(L\)-functions
- Automorphic forms on GL (2)
- Automorphic forms on \(\mathrm{GL}(2)\). Part II
- ON IHARA'S LEMMA FOR DEGREE ONE AND TWO COHOMOLOGY OVER IMAGINARY QUADRATIC FIELDS
- Overconvergent cohomology and quaternionic Darmon points
- Darmon points on elliptic curves over number fields of arbitrary signature
- Darmon’s Points and Quaternionic Shimura Varieties
- On rigid analytic uniformizations of Jacobians of Shimura curves
- p-adic L-functions and the Rationality of Darmon Cycles
- Nonvanishing of L-functions and structure of Mordell-Weil groups.
- The exceptional zero conjecture for Hilbert modular forms
- On Euler Products and the Classification of Automorphic Representations I
- On Euler Products and the Classification of Automorphic Forms II
- -adic -functions for
- Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms
- P-adic L-functions of Bianchi modular forms
- A torsion Jacquet-Langlands correspondence
- Stark–Heegner points on modular Jacobians
- Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.
