潜 klt 簇上代数可积叶层化之间的 flop

陈亦飞, 刘济豪, 王延泽

International Journal of Mathematics, 36(11):2550035, 2025

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单个 lc AI AFS 的两条 MMP 所得两个极小模型由一列 flop 连接。

摘要

我们证明：对潜 klt 簇上 lc 代数可积叶层化三元组的任意两个极小模型，存在由一列 flop 连接的小双有理模型。特别地，Q-阶乘 klt 簇上 lc 代数可积叶层化三元组的任意两个极小模型由一列 flop 连接。在假设广义叶层化四元组极小模型纲领成立的前提下，我们还讨论三维簇上可能非代数可积叶层化的极小模型之间的联系。

Bibtex

@article{CLW25,
	title = {Flop between algebraically integrable foliations on potentially {KLT} varieties},
	volume = {36},
	issn = {0129-167X},
	url = {https://www.worldscientific.com/doi/10.1142/S0129167X25500351},
	doi = {10.1142/S0129167X25500351},
	abstract = {We prove that for any two minimal models of an lc algebraically integrable foliated triple on potentially klt varieties, there exist small birational models that are connected by a sequence of flops. In particular, any two minimal models of lc algebraically integrable foliated triples on 
Q-factorial klt varieties are connected by a sequence of flops. We also discuss the connection between minimal models for possibly non-algebraically integrable foliations on threefolds, assuming the minimal model program for generalized foliated quadruples.},
	number = {11},
	urldate = {2026-01-20},
	journal = {International Journal of Mathematics},
	publisher = {World Scientific Publishing Co.},
	author = {Chen, Yifei and Liu, Jihao and Wang, Yanze},
	month = sep,
	year = {2025},
	pages = {2550035},
}