Raúl Alonso

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20212025

most citedAn anticyclotomic Euler system for adjoint modular Galois representations

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2025

Anticyclotomic diagonal classes and Beilinson--Flach elements

Raúl Alonso, Lois Omil-Pazos, Óscar 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 $p$ -adic interpolation

Raúl Alonso, Francesc Castella, Óscar Rivero

We construct an anticyclotomic Euler system for the Asai Galois representation associated to $p$ -ordinary Hilbert modular forms over real quadratic fields. We also show that our Eu…

math.NT2022★ 1 cited

An anticyclotomic Euler system for adjoint modular Galois representations

Raúl Alonso, Francesc Castella, Óscar Rivero

Let $K$ be an imaginary quadratic field and $p$ a prime split in $K$ . In this paper we construct an anticyclotomic Euler system for the adjoint representation attached to elliptic…

math.NT2021

The diagonal cycle Euler system for $GL_{2} \times GL_{2}$

Raúl Alonso, Francesc Castella, Óscar Rivero

We construct an anticyclotomic Euler system for the Rankin-Selberg convolution of two modular forms, using $p$ -adic families of generalized Gross-Kudla-Schoen diagonal cycles. As a…

Anticyclotomic diagonal classes and Beilinson--Flach elements

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and p-adic interpolation

An anticyclotomic Euler system for adjoint modular Galois representations

The diagonal cycle Euler system for GL2​×GL2​

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and $p$ -adic interpolation

The diagonal cycle Euler system for $GL_{2} \times GL_{2}$