Minimal model theory for relatively trivial log canonical pairs

2016/07/18 by Kenta Hashizume, Hashizume, Kenta
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1607.05005

openalex publication_date 2016/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study relative log canonical pairs with relatively trivial log canonical divisors. We fix such a pair (X,Δ)/Z and establish the minimal model theory for the pair (X,Δ) assuming the minimal model theory for all Kawamata log terminal pairs whose dimension is not greater than \rm dim Z. We also show the finite generation of log canonical rings for log canonical pairs of dimension five which are not of log general type.

Related

• Minimal models of semi-log-canonical pairs
• On log canonical rings
• Relations between two log minimal models of log canonical pairs
• Introduction to the log minimal model program for log canonical pairs
• On minimal model theory for log abundant lc pairs