Finite generation of the log canonical ring for 3-folds in char p

2015/03/12 by Joe Waldron, Waldron, Joe
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1503.03831

arxiv created 2016/04/29 · arxiv updated 2016/05/02

Abstract

We prove that the log canonical ring of a klt pair of dimension 3 with ℚ-boundary over an algebraically closed field of characteristic p>5 is finitely generated. In the process we prove log abundance for such pairs in the case κ=2.

Related

• Finite generation of the log canonical ring in dimension four
• Existence of flips and minimal models for 3-folds in char p
• Note on the 3-dimensional log canonical abundance in characteristic >3
• On the canonical bundle formula and log abundance in positive characteristic
• On log canonical rings