Selmer groups and central values of $L$-functions for modular forms

DOI10.5802/aif.3108zbMath1441.11119OpenAlexW2636899518MaRDI QIDQ1687893

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.3108

zbMATH Keywords

modular forms Selmer groups Bloch-Kato conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23)

Related Items (5)

On the level raising of cuspidal eigenforms modulo prime powers ⋮ INDIVISIBILITY OF HEEGNER CYCLES OVER SHIMURA CURVES AND SELMER GROUPS ⋮ On the structure of Selmer and Shafarevich–Tate groups of even weight modular forms ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ CM cycles on Kuga-Sato varieties over Shimura curves and Selmer groups

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Syntomic cohomology and $p$-adic regulators for varieties over $p$-adic fields
Rankin-Eisenstein classes in Coleman families
On the non-vanishing mod $\ell$ of central $L$-values with anticyclotomic twists for Hilbert modular forms
Kolyvagin's method for Chow groups and Kuga-Sato varieties
Iwasawa's main conjecture for elliptic curves over anticyclotonic $\mathbb Z_p$-extensions
On the vanishing of Selmer groups for elliptic curves over ring class fields
Continuous étale cohomology
Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
Non-optimal levels of $\text{mod }l$ modular representations
On the finiteness of $\text{ Ш}$ for motives associated to modular forms
The Taylor-Wiles construction and multiplicity one
On the image of $p$-adic regulators
Derivatives of $p$-adic $L$-functions, Heegner cycles and monodromy modules attached to modular forms
Special values of anticyclotomic $L$-functions for modular forms
Motives for modular forms
On the $p$-adic height of Heegner cycles
Integral Hodge theory and congruences between modular forms
Rankin-Eisenstein classes and explicit reciprocity laws
On the meromorphic continuation of degree two $L$-functions
On the Birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields
Automorphic forms on GL (2)
On the levels of mod l Hilbert modular forms
Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two
WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
On the anticyclotomic Iwasawa main conjecture for modular forms
Heegner points on Mumford-Tate curves

This page was built for publication: Selmer groups and central values of $L$-functions for modular forms

Selmer groups and central values of \(L\)-functions for modular forms