28 citations · 44 across the 14 of their papers we have counts for
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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…