Francesc Castella

most citedOn the Iwasawa theory of elliptic curves at Eisenstein primes

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2024

Exceptional zeros for Heegner points and $p$ -converse to the theorem of Gross-Zagier and Kolyvagin

Francesc Castella

We prove a $p$ -converse to the theorem of Gross-Zagier and Kolyvagin for elliptic curves $E / Q$ at primes $p > 3$ of multiplicative reduction. Two key ingredients in the argu…

math.NT2024★ 1 cited

On the Iwasawa theory of elliptic curves at Eisenstein primes

Francesc Castella

These are expanded notes for the mini-course given by the author at the 2022 ICTS workshop `Elliptic curves and the special values of $L$ -functions'.

math.NT2014

Big Heegner points and special values of $L$ -series

Francesc Castella, Matteo Longo

In \cite{LV}, Howard's construction of big Heegner points on modular curves was extended to general Shimura curves over the rationals. In this paper, we relate the higher weight sp…

Exceptional zeros for Heegner points and p-converse to the theorem of Gross-Zagier and Kolyvagin

On the Iwasawa theory of elliptic curves at Eisenstein primes

Big Heegner points and special values of L-series

Exceptional zeros for Heegner points and $p$ -converse to the theorem of Gross-Zagier and Kolyvagin

Big Heegner points and special values of $L$ -series