Boundedness of ε-log Canonical Complements on Surfaces

2004/09/15 by Caucher Birkar, Birkar, Caucher
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AG

paper · pdf · doi:10.48550/arxiv.math/0409254

66 pages

arxiv created 2004/09/15 · openalex publication_date 2004/09/15 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We prove a conjecture due to V.V. Shokurov on the boundedness of ε-log canonical complements on surfaces. As an application we give a new proof to the boundedness of weak log Fano surfaces.

Related

• Failure of Boundedness for Generalised Log Canonical Surfaces
• Complements on surfaces
• Boundedness of n-complements on surfaces
• Complements on log canonical Fano varieties
• Effective basepoint-free theorem for semi-log canonical surfaces