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Seminar
FIELD Mathematics
DATE November 11 (Thu), 2021
TIME 16:00-17:00
PLACE Online
SPEAKER Im, Bo-Hae
HOST Choi, Junhwa
INSTITUTE KAIST
TITLE [GS_M_NT] A hyperelliptic curve mapping to specified elliptic curves
ABSTRACT We consider the non-existence of rational curves on certain Kummer varieties. In particular, we prove that if the $j$-invariants of a $21$-tuple of elliptic curves $E_1,\ldots,E_{21}$ over $\mathbb{C}$ are algebraically independent over $\mathbb{Q}$, there is no hyperelliptic curve which admits a non-trivial morphism to each of the $E_i$. This is a joint work with Michael Larsen and Sailun Zhan.
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