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

Meng Chen; Sicheng Ding

paper

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

arXiv:2510.04029

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 $K_{X}^{3} > 435 5^{3}$ and $K_{X}^{3} > 1 2^{3}$ 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.

Any comment is welcome

On minimal 3-folds with K3≥86

Abstract

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