Euler Systems for ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$

Abstract

For a non-endoscopic cohomological cuspidal automorphic representation of ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$, assumed to be $p$-ordinary, we construct an Euler system for the Galois representation associated to it. Both the construction and the verification of tame norm relations are based on Novodvorsky's integral formula for the $L$-function of ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$.

54 pages. Simplified proof of local formula for tame norm relations. Added assumptions for tame norm relation to exclude boundary weights which do not go through the current proof. Other minor corrections

References in corpus (4)

• Decomposition de motifs abeliens
• Spherical varieties and norm relations in Iwasawa theory
• Euler systems with local conditions
• On local zeta-integrals for GSp(4) and GSp(4) x GL(2)

Cited by in corpus (5)

• P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
• On some zeta-integrals for unramified representations of GSp(4)
• On the Bloch--Kato conjecture for GSp(4) x GL(2)
• On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)
• On the Birch-Swinnerton-Dyer conjecture for modular abelian surfaces