28 citations · 105 across the 29 of their papers we have counts for
4 papers · 1 filter
On the non-vanishing of generalized Kato classes for elliptic curves of rank
Francesc Castella, Ming-Lun Hsieh
We prove the first cases of a conjecture by Darmon--Rotger on the non-vanishing of generalized Kato classes attached to elliptic curves over of rank . Our metho…
Class groups and local indecomposability for non-CM forms
Francesc Castella, Carl Wang-Erickson, Haruzo Hida
In the late 1990's, R. Coleman and R. Greenberg (independently) asked for a global property characterizing those -ordinary cuspidal eigenforms whose associated Galois representa…
Indivisibility of Heegner points and arithmetic applications
Ashay Burungale, Francesc Castella, Chan-Ho Kim
We upgrade Howard's divisibility towards Perrin-Riou's Heegner point main conjecture to the predicted equality. Contrary to previous works in this direction, our main result allows…
On the Iwasawa main conjectures for modular forms at non-ordinary primes
Francesc Castella, Mirela Çiperiani, Christopher Skinner +1
In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight at non-ordinary primes. Our proof is based on th…