Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Rivero, Óscar"'
Autor:
Rivero, Óscar, Rotger, Victor
We investigate Eisenstein congruences between the so-called Euler systems of Garrett--Rankin--Selberg type. This includes the cohomology classes of Beilinson--Kato, Beilinson--Flach and diagonal cycles. The proofs crucially rely on different known ve
Externí odkaz:
http://arxiv.org/abs/2306.04567
Autor:
Loeffler, David, Rivero, Óscar
We use higher Coleman theory to construct a new $p$-adic $L$-function for $\text{GSp}_4 \times \text{GL}_2$. While previous works by the first author, Pilloni, Skinner and Zerbes had considered the $p$-adic variation of classes in the $H^2$ of Shimur
Externí odkaz:
http://arxiv.org/abs/2305.07707
Autor:
Loeffler, David, Rivero, Óscar
We prove algebraicity results for critical $L$-values attached to the group $\text{GSp}_4 \times \text{GL}_2$, and for Gan--Gross--Prasad periods which are conjecturally related to central $L$-values for $\text{GSp}_4 \times \text{GL}_2 \times \text{
Externí odkaz:
http://arxiv.org/abs/2303.16114
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 modular forms base changed to $K$. We also relate our Euler system to
Externí odkaz:
http://arxiv.org/abs/2204.07658
Autor:
Loeffler, David, Rivero, Óscar
We discuss the theory of Coleman families interpolating critical-slope Eisenstein series. We apply it to study degeneration phenomena at the level of Euler systems. In particular, this allows us to prove relations between Kato elements, Beilinson--Fl
Externí odkaz:
http://arxiv.org/abs/2201.02078
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 applications of this construction, we prove new cases of the Bloch-Kato
Externí odkaz:
http://arxiv.org/abs/2106.05322
Autor:
Rivero, Oscar
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 attached to the modular form $f$ has split multiplicative reduction at $p$
Externí odkaz:
http://arxiv.org/abs/2103.00987
Autor:
Rivero, Oscar
We give a new proof of a conjecture of Darmon, Lauder and Rotger regarding the computation of the $\mathcal L$-invariant of the adjoint of a weight one modular form in terms of units and $p$-units. While in our previous work with Rotger the essential
Externí odkaz:
http://arxiv.org/abs/2103.00990
Autor:
Rivero, Óscar, Rotger, Victor
Let $f$ be a cuspidal eigenform of weight two and level $N$, let $p\nmid N$ be a prime at which $f$ is congruent to an Eisenstein series and let $V_f$ denote the $p$-adic Tate module of $f$. Beilinson constructed a class $\kappa_f\in H^1(\mathbb Q,V_
Externí odkaz:
http://arxiv.org/abs/2101.09972
Autor:
Segovia-Martin, Jose1,2 (AUTHOR) jose.segovia@um6p.ma, Rivero, Óscar3,4 (AUTHOR)
Publikováno v:
PLoS ONE. 5/29/2024, Vol. 19 Issue 5, p1-26. 26p.
