Author

Yongnam Lee

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Preprint Aug 2026

Degree of irrationality of a product of two elliptic curves

In this short paper, we prove that, for any two complex elliptic curves $E$ and $F$, the product $E\times F$ has degree of irrationality $3$. The upper bound is obtained from compatible cyclic plane-cubic models of $E$ and $F$: three diagonal bihomogeneous sections define a dominant rational map \(E\times F...

Yongnam Lee · 0 citations

Preprint Aug 2026

Degree of irrationality of properly elliptic surfaces

In this paper, we study the degree of irrationality of properly elliptic surfaces with a section. We prove $\min\{\chi(\mathcal O_S),\,2\operatorname{gon}(C)\} \leq \operatorname{irr}(S) \leq 2\operatorname{gon}(C)$. The lower bound is obtained from the canonical bundle formula and the Cayley--Bacharach property. We sh...

Yongnam Lee, De-Qi Zhang · 0 citations