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

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Showing 2022Show all

2 papers · 1 filter

math.NT2022

Generalised Kato classes on CM elliptic curves of rank 2

Francesc Castella

Let $E / Q$ be a CM elliptic curve and let $p \geq 5$ be a prime of good ordinary reduction for $E$ . Suppose that $L (E, s)$ vanishes at $s = 1$ and has sign $+ 1$ in its function…

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…