'Oscar Rivero

activity

20182025

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4 papers · 1 filter

math.NT2025

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

Kâzım Büyükboduk, Óscar Rivero, Ryotaro Sakamoto

The goal of this article is to develop a $p$ -adic Artin formalism in the context of $p$ -adic families of automorphic forms on $GSp_{4} \times GL_{2} \times GL_{2}$ . Our…

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.NT2025

Eisenstein degeneration of Beilinson--Kato classes and circular units

Javier Polo, Óscar Rivero, Ju-Feng Wu

The aim of this note is to explore the Euler system of Beilinson--Kato elements in families passing through the critical $p$ -stabilization of an Eisenstein series attached to two D…

Wall-crossing and p-adic Artin formalism for GSp4​×GL2​×GL2​

Anticyclotomic diagonal classes and Beilinson--Flach elements

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

Eisenstein degeneration of Beilinson--Kato classes and circular units

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

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