On irregular threefolds of Kodaira dimension two

Ziqi Liu, Pengjin Wang

Source record

Source: arXiv

Published: Oct 26, 2026

arXiv: 2610.34955

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Source abstract

Let $X$ be an irregular threefold of Kodaira dimension two. We show that the Iitaka volume $\operatorname{Ivol}(X)$ of $X$ is at least $\frac{1}{100}$ and $\lvert mK_X\rvert$ defines the Iitaka fibration for $m\geq 32$ . Both $\frac{1}{100}$ and $32$ are sharp.

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