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arXiv · 2505.18055

Remarks on the minimal model theory for log surfaces in the analytic setting

Nao Moriyama
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Abstract

We discuss the relative log minimal model theory for log surfaces in the analytic setting. More precisely, we show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces which are projective over complex analytic varieties.

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Nao Moriyama. 2025-05-23. Remarks on the minimal model theory for log surfaces in the analytic setting. https://doi.org/10.1017/nmj.2026.10108

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