4 papers
On the Fitting ideals of anticyclotomic Selmer groups of elliptic curves with good ordinary reduction
Chan-Ho Kim
We give a short proof of the anticyclotomic analogue of the "strong" main conjecture of Kurihara on Fitting ideals of Selmer groups for elliptic curves with good ordinary reduction…
A user's guide to Beilinson-Kato's zeta elements
Chan-Ho Kim
In his ground-breaking work, K. Kato constructed the Euler system of Beilinson--Kato's zeta elements and proved spectacular results on the Iwasawa main conjecture for elliptic curv…
On the adjoint Selmer groups of semi-stable elliptic curves and Flach's zeta elements
Chan-Ho Kim
We explicitly construct the rank one primitive Stark (equivalently, Kolyvagin) system extending a constant multiple of Flach's zeta elements for semi-stable elliptic curves. As its…
On the anticyclotomic Mazur-Tate conjecture for elliptic curves with supersingular reduction
Chan-Ho Kim
In this short note, we study the anticyclotomic analogue of the "weak" main conjecture of Mazur-Tate on Fitting ideals of Selmer groups for elliptic curves with supersingular reduc…