Semistable Minimal Models of Threefolds in Positive or Mixed Characteristic

TL;DR

This paper extends the minimal model theorem to 3-dimensional schemes with semistable reduction over Dedekind rings, advancing the understanding of minimal models in positive or mixed characteristic.

Contribution

It generalizes the minimal model theorem to semistable threefolds over Dedekind rings, covering positive and mixed characteristic cases.

Findings

Extended minimal model theorem to semistable threefolds

Applicable to schemes over Dedekind rings in positive/mixed characteristic

Provides new tools for the classification of algebraic threefolds

Abstract

We extend the minimal model theorem to the 3-dimensional schemes which are projective and have semistable reduction over the spectrum of a Dedekind ring.