2 papers
math.NT2025
Anticyclotomic diagonal classes and Beilinson--Flach elements
Raúl Alonso, Lois Omil-Pazos, Ãscar Rivero
We present a comparison between the anticyclotomic Euler system of diagonal cycles associated with the convolution of two modular forms and the cyclotomic Beilinson--Flach Euler sy…
math.NT2025
An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and -adic interpolation
Raúl Alonso, Francesc Castella, Ãscar Rivero
We construct an anticyclotomic Euler system for the Asai Galois representation associated to -ordinary Hilbert modular forms over real quadratic fields. We also show that our Eu…