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 2023 · math.NTShow all

5 papers · 2 filters

math.NT2023

Nonvanishing of generalised Kato classes and Iwasawa main conjectures

Francesc Castella

A construction due to Darmon--Rotger gives rise to generalised Kato classes $κ_{p} (E)$ in the $p$ -adic Selmer group $Sel (Q, V_{p} E)$ of elliptic curves $E / Q$ of…

math.NT2023★ 1 cited

Non-vanishing of Kolyvagin systems and Iwasawa theory

Ashay Burungale, Francesc Castella, Giada Grossi +1

Let $E / Q$ be an elliptic curve and $p$ an odd prime. In 1991 Kolyvagin conjectured that the system of cohomology classes for torsion quotients of the $p$ -adic Tate module…

math.NT2023

Derived $p$ -adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$ -adic $L$ -function

Francesc Castella, Chi-Yun Hsu, Debanjana Kundu +2

Let $E / Q$ be an elliptic curve and let $p$ be an odd prime of good reduction for $E$ . Let $K$ be an imaginary quadratic field satisfying the classical Heegner hypothesis a…

math.NT2023

Diagonal cycles and anticyclotomic Iwasawa theory of modular forms

Francesc Castella, Kim Tuan Do

We construct a new Euler system for the Galois representation $V_{f, χ}$ attached to a newform $f$ of weight $2 r \geq 2$ twisted by an anticyclotomic Hecke character $χ$ . The Euler s…

math.NT2023★ 3 cited

Mazur's main conjecture at Eisenstein primes

Francesc Castella, Giada Grossi, Christopher Skinner

Let $E / Q$ be an elliptic curve, let $p > 2$ be a prime of good reduction for $E$ , and assume that $E$ admits a rational $p$ -isogeny with kernel $F_{p} (ϕ)$ . In this pa…

Nonvanishing of generalised Kato classes and Iwasawa main conjectures

Non-vanishing of Kolyvagin systems and Iwasawa theory

Derived p-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna p-adic L-function

Diagonal cycles and anticyclotomic Iwasawa theory of modular forms

Mazur's main conjecture at Eisenstein primes

Derived $p$ -adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$ -adic $L$ -function