Arithmetic properties of signed Selmer groups at non-ordinary primes
From MaRDI portal
Publication:2421940
DOI10.5802/aif.3270zbMath1477.11183arXiv1608.00257OpenAlexW2964344974WikidataQ127791209 ScholiaQ127791209MaRDI QIDQ2421940
Publication date: 18 June 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.00257
(p)-adic theory, local fields (11F85) Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) Cyclotomic extensions (11R18)
Related Items
Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formula ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms ⋮ Residual supersingular Iwasawa theory and signed Iwasawa invariants ⋮ The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms ⋮ RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS ⋮ \(\lambda\)-invariant stability in families of modular Galois representations ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ On Selmer groups in the supersingular reduction case ⋮ \(p^r\)-Selmer companion modular forms ⋮ On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$ ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some consequences of a formula of Mazur and Rubin for arithmetic local constants
- Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures
- Coleman maps and the \(p\)-adic regulator
- Mazur-Tate elements of nonordinary modular forms
- Variation of Iwasawa invariants in Hida families
- The Iwasawa invariants of the plus/minus Selmer groups
- Iwasawa theory of \(p\)-adic representations over a local field
- The Magma algebra system. I: The user language
- Newforms and functional equations
- Iwasawa theory for elliptic curves at supersingular primes
- Bloch and Kato's exponential map: three explicit formulas
- On the Iwasawa invariants of elliptic curves
- Construction of some families of 2-dimensional crystalline representations
- Kida's formula and congruences
- Functional equations for multi-signed Selmer groups
- Wach modules and Iwasawa theory for modular forms
- THE PLUS/MINUS SELMER GROUPS FOR SUPERSINGULAR PRIMES
- Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
- Iwasawa theory for modular forms at supersingular primes
- A generalisation of the Cassel-Tate pairing.
- The Tamagawa number conjecture of adjoint motives of modular forms
- Limites de représentations cristallines
- Arithmétique des courbes elliptiques à réduction supersingulière enp
- On the Asymptotic Growth of Bloch-Kato-Shafarevich-Tate Groups of Modular Forms Over Cyclotomic Extensions
- Rank parity for congruent supersingular elliptic curves
