Mori fibre spaces for 3-folds over imperfect fields

2023/03/01 by Joe Waldron, Waldron, Joe · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.2303.00615

openalex publication_date 2023/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We prove that the LMMP works for projective threefolds over function fields of characteristic p>5 when the canonical divisor is not pseudo-effective. In the process we show that ACC for log canonical thresholds holds in complete generality for threefolds in residue characteristic p>5.

Cited by

• Boundedness of complements for fibered Fano threefolds in positive characteristic

Related

• Existence of Mori fibre spaces for 3-folds in char p
• On the log minimal model program for 3-folds over imperfect fields of characteristic p>5
• Canonical and log canonical thresholds of multiple projective spaces
• Vanishing theorems for threefolds in characteristic p>5
• Existence of flips and minimal models for 3-folds in char p