Author

De-Qi Zhang

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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