Óscar Rivero

most citedGeneralized Kato classes and exceptional zero conjectures

1 citations · 2 across the 4 of their papers we have counts for

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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

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

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.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

Óscar Rivero, Victor Rotger

Let $f$ be a cuspidal eigenform of weight two and level $N$ , let $p ∤ N$ be a prime at which $f$ is congruent to an Eisenstein series and let $V_{f}$ denote the $p$ -adic Tate modu…

Eisenstein congruences among Euler systems

On p-adic L-functions for GSp4​×GL2​

Algebraicity of L-values for GSp4​×GL2​ and GSp4​×GL2​×GL2​

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

Generalized Kato classes and exceptional zero conjectures

Motivic congruences and Sharifi's conjecture

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

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