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arXiv · 2512.18638

On bicanonical maps of threefolds of general type with large volumes

Chen Jiang·Ziqi Liu
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Abstract

We prove that for any smooth projective $3$-fold of general type with canonical volume greater than $12^6$, the image of its bicanonical map has dimension at least $2$. We also study pluricanonical maps of $3$-folds of general type with large canonical volume and fibered by $(1,2)$-surfaces or $(2,3)$-surfaces.

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Chen Jiang, Ziqi Liu. 2025-12-21. On bicanonical maps of threefolds of general type with large volumes. https://arxiv.org/abs/2512.18638

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