TL;DR
This paper introduces the minimal model theory for log surfaces across all characteristics and provides related results, including a simplified proof of the Artin-Keel contraction theorem for surfaces.
Contribution
It extends the minimal model theory to log surfaces in all characteristics and offers a simplified proof of a key contraction theorem.
Findings
Established minimal model theory for log surfaces in all characteristics
Provided a simplified proof of the Artin-Keel contraction theorem for surfaces
Related results enhancing the understanding of log surface geometry
Abstract
This paper is an announcement of the minimal model theory for log surfaces in all characteristics and contains some related results including a simplified proof of the Artin-Keel contraction theorem in the surface case.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows