28 citations · 44 across the 14 of their papers we have counts for
17 papers
Refined conjectures on Fitting ideals of BDP Selmer groups
Chan-Ho Kim, Aprameyo Pal, Jishnu Ray
Under mild assumptions, we prove the strong main conjecture for BDP Selmer groups of elliptic curves with good reduction in the sense of Kurihara's refined Iwasawa theory. In parti…
Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg -values in Hida families
Chan-Ho Kim, Matteo Longo
The aim of this paper is to prove the two-variable anticyclotomic Iwasawa main conjecture for Hida families and a definite version of the horizontal non-vanishing conjecture, which…
An explicit comparison of anticyclotomic -adic -functions for Hida families
Chan-Ho Kim, Matteo Longo
The aim of this note is to compare several anticyclotomic -adic -functions for modular forms and -adic families of ordinary modular forms, which have been defined and stud…
A higher Gross-Zagier formula and the structure of Selmer groups
Chan-Ho Kim
We describe a Kolyvagin system-theoretic refinement of Gross--Zagier formula by comparing Heegner point Kolyvagin systems with Kurihara numbers when the root number of a rational e…
The structure of Selmer groups and the Iwasawa main conjecture for elliptic curves
Chan-Ho Kim
We reveal a new and refined application of (a weaker statement than) the Iwasawa main conjecture for elliptic curves to the structure of Selmer groups of elliptic curves of arbitra…
Refined applications of Kato's Euler systems for modular forms
Chan-Ho Kim
We discuss refined applications of Kato's Euler systems for modular forms of higher weight at good primes (with more emphasis on the non-ordinary ones) beyond the one-sided divisib…
On the soft -converse to a theorem of Gross-Zagier and Kolyvagin
Chan-Ho Kim
We give a proof of a soft version of the -converse to a theorem of Gross--Zagier and Kolyvagin for non-CM elliptic curves with good ordinary reduction at under the irredu…
On the Iwasawa invariants of Kato's zeta elements for modular forms
Chan-Ho Kim, Jaehoon Lee, Gautier Ponsinet
We study the behavior of the Iwasawa invariants of the Iwasawa modules which appear in Kato's main conjecture without -adic -functions under congruences. It generalizes the w…
A proof of Perrin-Riou's Heegner point main conjecture
Ashay Burungale, Francesc Castella, Chan-Ho Kim
Let be an elliptic curve of conductor , let be a prime where has good ordinary reduction, and let be an imaginary quadratic field satisfying the Hee…
On the quantitative variation of congruence ideals and integral periods of modular forms
Chan-Ho Kim, Kazuto Ota
We prove the conjecture of Pollack and Weston on the quantitative analysis of the level lowering congruence à la Ribet for modular forms of higher weight. It was formulated and stu…
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{…
On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms
Chan-Ho Kim, Myoungil Kim, Hae-Sang Sun
We provide a simple and efficient numerical criterion to verify the Iwasawa main conjecture and the indivisibility of derived Kato's Euler systems for modular forms of weight two a…
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…
An anticyclotomic Mazur-Tate conjecture for modular forms
Chan-Ho Kim
Under certain assumptions, we prove an anticyclotomic analogue of the "weak main conjecture" à la Mazur and Tate for modular forms over a large class of cyclic ring class extension…
Variation of anticyclotomic Iwasawa invariants in Hida families
Francesc Castella, Chan-Ho Kim, Matteo Longo
Building on the construction of big Heegner points in the quaternionic setting, and their relation to special values of Rankin-Selberg -functions, we obtain anticyclotomic analo…