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October 26, 2026Open Access

On irregular threefolds of Kodaira dimension two

Ziqi Liu Pengjin Wang

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Abstract

Let X be an irregular threefold of Kodaira dimension two. We show that the Iitaka volume Ivol(X) of X is at least 1/100 and mKX defines the Iitaka fibration for m≥ 32. Both 1/100 and $32$ are sharp.

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/6ae2e1bc61f440a81e656c7f https://doi.org/10.48550/arxiv.2610.34955

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