4 papers
Remarks on Kato's Euler systems for elliptic curves with additive reduction
Chan-Ho Kim, Kentaro Nakamura
Extending the former work for the good reduction case, we provide a numerical criterion to verify a large portion of the "Iwasawa main conjecture without -adic -functions" fo…
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 refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction
Chan-Ho Kim, Masato Kurihara
In this paper, we study the Fitting ideals of Selmer groups over finite subextensions in the cyclotomic -extension of of an elliptic curve over $\mathbb{…
Overconvergent quaternionic forms and anticyclotomic p-adic L-functions
Chan-Ho Kim
We reinterpret the explicit construction of Gross points given by Chida-Hsieh as a non-Archimedian analogue of the standard geodesic cycle from zero to the infinity on the Poincare…