Arithemetic Geometry Day in IBS-CCG

B266 IBS, Korea, Republic of

List of Seminars A Hyperelliptic Curve Mapping to Specified Elliptic Curves Bo-Hae Im (KAIST) 14:00-15:00, IBS B266 Jordan Constants of Simple Abelian Varieties over Fields of Positive Characteristic WonTae Hwang (Jeonbuk National Univ.) 15:15-16:15, IBS B266 Decidable Diophantine Problems on Character Varieties Junho Peter Whang (Seoul National Univ.) 16:30-17:30, IBS B266

Bo-Hae Im, A Hyperelliptic Curve Mapping to Specified Elliptic Curves

B266 IBS, Korea, Republic of

     Speaker Bo-Hae Im KAIST (This is a part of Arithemetic Geometry Day in IBS-CCG.) We are interested in the existence and non-existence of rational curves on certain Kummer varieties which can be applied to the rank problem of quadratic twists of elliptic curves. In this talk, we prove that if the j-invariants of

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