2 papers
math.NT2026
Eisenstein points on the Hilbert cuspidal eigenvariety
Adel Betina, Mladen Dimitrov, Sheng-Chi Shih
We present a comprehensive study of the geometry of Hilbert -adic eigenvarieties at classical parallel weight one intersection points of their cuspidal and Eisenstein loci. For…
math.NT2025
Eisenstein cocycles for imaginary quadratic fields
Emmanuel Lecouturier, Romyar Sharifi, Sheng-Chi Shih +1
We construct Eisenstein cocycles for arithmetic subgroups of GL_2 of imaginary quadratic fields valued in second K-groups of products of two CM elliptic curves. We use these to con…