A Note on $\mathbb{Q}$-Gorenstein surfaces
Algebraic Geometry
2026-02-03 v1
Abstract
We construct a normal projective -Gorenstein surface over an algebraically closed field whose canonical ring is not finitely generated. Moreover, we provide a counterexample to the minimal model program for -Gorenstein surfaces, which was previously unknown in positive characteristic.
Cite
@article{arxiv.2602.00732,
title = {A Note on $\mathbb{Q}$-Gorenstein surfaces},
author = {Nao Moriyama},
journal= {arXiv preprint arXiv:2602.00732},
year = {2026}
}
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14 pages