Óscar Rivero

activity

20212023

L

-values for

GSp_{4} \times GL_{2}

and

GSp_{4} \times GL_{2} \times GL_{2}

1 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2023

Eisenstein congruences among Euler systems

Óscar Rivero, Victor Rotger

We investigate Eisenstein congruences between the so-called Euler systems of Garrett--Rankin--Selberg type. This includes the cohomology classes of Beilinson--Kato, Beilinson--Flac…

math.NT2023★ 1 cited

On $p$ -adic $L$ -functions for $GSp_{4} \times GL_{2}$

David Loeffler, Óscar Rivero

We use higher Coleman theory to construct a new $p$ -adic $L$ -function for $GSp_{4} \times GL_{2}$ . While previous works by the first author, Pilloni, Skinner and Zerbes h…

math.NT2023★ 1 cited

Algebraicity of $L$ -values for $GSp_{4} \times GL_{2}$ and $GSp_{4} \times GL_{2} \times GL_{2}$

David Loeffler, Óscar Rivero

We prove algebraicity results for critical $L$ -values attached to the group $GSp_{4} \times GL_{2}$ , and for Gan--Gross--Prasad periods which are conjecturally related to…

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★ 1 cited

Cyclotomic derivatives of Beilinson--Flach classes and a new proof of a Gross--Stark formula

Oscar Rivero

We give a new proof of a conjecture of Darmon, Lauder and Rotger regarding the computation of the $L$ -invariant of the adjoint of a weight one modular form in terms of uni…

math.NT2021★ 1 cited

Generalized Kato classes and exceptional zero conjectures

Oscar Rivero

The primary objective of this paper is the study of different instances of the elliptic Stark conjectures of Darmon, Lauder and Rotger, in a situation where the elliptic curve atta…

math.NT2021

Motivic congruences and Sharifi's conjecture