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arXiv · 2510.04029

On minimal 3-folds with $K^3\geq 86$

Meng Chen·Sicheng Ding
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Abstract

We prove that the $5$-canonical map of every minimal projective $3$-fold $X$ with $K_X^3\geq 86$ is stably birational onto its image, which loosens previous requirements $K_X^3>4355^3$ and $K_X^3>12^3$ respectively given by Todorov and Chen. The essential technical ingredient of this paper is an efficient utilization of a moving divisor which grows from global $2$-forms by virtue of Chen-Jiang.

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Meng Chen, Sicheng Ding. 2025-10-05. On minimal 3-folds with $K^3\geq 86$. https://arxiv.org/abs/2510.04029

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