Flop connections between minimal models for corank 1 foliations over threefolds

2023/05/31 by Dongchen Jiao, Jiao, Dongchen, Pascale Voegtli +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.19728

openalex publication_date 2023/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 2007 Kawamata proved that two different minimal models can be connected by a sequence of flops. The aim of this paper is to show that the same holds true for 2 foliated minimal models descending from a common 3-fold pair equipped with a F-dlt foliation of corank 1.

Related

• Flop between algebraically integrable foliations on potentially klt varieties
• Log Canonical Minimal Model Program for corank one foliations on Threefolds
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• MMP for co-rank one foliations on threefolds
• Flops and minimal models for generalized pairs