Byoung Du Kim

most citedRanks of the Rational Points of Abelian Varieties over Ramified Fields, and Iwasawa Theory for Primes with Non-Ordinary Reduction

8 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2017★ 1 cited

Ranks of rational points of the Jacobian varieties of hyperelliptic curves

Bo-Hae Im, Byoung Du Kim

In this paper, we obtain bounds for the Mordell-Weil ranks over cyclotomic extensions of a wide range of abelian varieties defined over a number field $F$ whose primes above $p$ ar…

math.NT2016★ 8 cited

Ranks of the Rational Points of Abelian Varieties over Ramified Fields, and Iwasawa Theory for Primes with Non-Ordinary Reduction

Byoung Du Kim

Let $A$ be an abelian variety defined over a number field $F$ . Suppose its dual abelian variety $A^{'}$ has good non-ordinary reduction at the primes above $p$ . Let $F_{\infty} / F$ be…