On the p-adic interpolation of unitary Friedberg--Jacquet periods

Abstract

We establish functoriality of higher Coleman theory for certain unitary Shimura varieties and use this to construct a $p$-adic analytic function interpolating unitary Friedberg--Jacquet periods.

arXiv commentFinal version. To appear in Algebra & Number Theory

References in corpus (8)

• Local-global compatibility and the action of monodromy on nearby cycles
• Rankin--Eisenstein classes in Coleman families
• Decomposition de motifs abeliens
• Higher Hida theory and p-adic L-functions for GSp(4)
• Coherent cohomology of Shimura varieties and automorphic forms
• Anticyclotomic Euler systems for unitary groups
• Anticyclotomic p-adic L-functions and Ichino's formula
• Functoriality of motivic lifts of the canonical construction

Cited by in corpus (1)

• On $p$-adic $L$-functions for ${\text{GSp}}_4\times {\text{GL}}_2$