A note on mathbb{Q}-Gorenstein surfaces
classification
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keywords
gorensteinmathbbsurfacesalgebraicallycanonicalcharacteristicclosedconstruct
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We construct a normal projective $\mathbb{Q}$-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 $\mathbb{Q}$-Gorenstein surfaces, which was previously unknown in positive characteristic.
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Cited by 1 Pith paper
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Non-projective complete log canonical surfaces
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