Francesc Castella

activity

20142026

most citedA proof of Perrin-Riou's Heegner point main conjecture

28 citations · 105 across the 29 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 1 cited

Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on $GU (3, 1)$

Francesc Castella, Zheng Liu, Xin Wan

In this paper we prove one side divisibility of the Iwasawa-Greenberg main conjecture for Rankin-Selberg product of a weight two cusp form and an ordinary CM form of higher weight,…

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…

Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on GU(3,1)

The diagonal cycle Euler system for GL2​×GL2​

Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on $GU (3, 1)$

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