Work

Flop between algebraically integrable foliations on potentially KLT varieties

Year: 2025

Type: article

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 [Formula: see text]-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.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x25500351

Authors: Yifei Chen, Jihao Liu, Yanze Wang

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science, Peking University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Outstanding Youth Science Fund Project of National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G741138386, G7716932469