Óscar Rivero

most citedEisenstein degeneration of Euler systems

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math.NT2022★ 2 cited

Eisenstein degeneration of Euler systems

David Loeffler, Óscar Rivero

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,…

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…

Eisenstein degeneration of Euler systems

The diagonal cycle Euler system for GL2​×GL2​

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