On Greenberg’s L-invariant of the symmetric sixth power of an ordinary cusp form

DOI10.1112/S0010437X12000176zbMath1284.11145arXiv1007.2213MaRDI QIDQ3143221

Robert Harron

Publication date: 29 November 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2213

zbMATH Keywords

cusp forms\(p\)-adic \(L\)-functions\(L\)-invariantsHida familiesGreenberg's \(L\)-invariantRamakrishnan-Shahidi symmetric cube lift

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Iwasawa theory (11R23) Galois cohomology (11R34)

Cites Work

• Unnamed Item
• A family of Calabi-Yau varieties and potential automorphy. II.
• Geometric deformations of modular Galois representations
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• On ordinary \(\lambda\)-adic representations associated to modular forms
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• On the local behaviour of ordinary \(\Lambda\)-adic representations.
• Selmer groups and the Eisenstein-Klingen ideal.
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• Siegel modular forms of genus 2 attached to elliptic curves
• A generalization of Greenberg's <i>L</i>-invariant
• Existence of Whittaker models related to four dimensional symplectic Galois representations
• CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE
• Geometric Euler systems for locally isotropic motives
• Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations

This page was built for publication: On Greenberg’s L-invariant of the symmetric sixth power of an ordinary cusp form