On existence of bounded relative-global complements for Fano fibrations

2024/02/19 by Sung Rak Choi, Choi, Sung Rak, Chuyu Zhou +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2402.12031

openalex publication_date 2024/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For Fano fibrations with ε-lc singularities of a fixed dimension, we show the existence of bounded relative-global complements. If the base of the fibration is of dimension one, we even show the existence of bounded relative-global klt complements.

Related

• Boundedness of klt complements on Fano fibrations over surfaces
• Optimal bound for singularities on Fano type fibrations of relative dimension one
• Boundedness of complements for fibered Fano threefolds in positive characteristic
• Singularities on Fano fibrations and beyond
• Boundedness of Fano type fibrations