1 citations · 2 across the 3 of their papers we have counts for
8 papers
Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on
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,…
The Iwasawa Main Conjectures for and derivatives of -adic -functions
Francesc Castella, Xin Wan
We prove under mild hypotheses the three-variable Iwasawa main conjecture for -ordinary modular forms in the indefinite setting. Our result is in a setting complementary to that…
On anticyclotomic variants of the -adic Birch and Swinnerton-Dyer conjecture
Adebisi Agboola, Francesc Castella
We formulate analogues of the Birch and Swinnerton-Dyer conjecture for the -adic -functions of Bertolini-Darmon-Prasanna attached to elliptic curves at primes…
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…
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…