Open surfaces of small volume
classification
🧮 math.AG
keywords
amplecanonicalclassconstructdivisorexamplesimproveknown
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We construct a surface with log terminal singularities and ample canonical class that has $K_X^2=1/48 983$ and a log canonical pair $(X,B)$ with a nonempty reduced divisor $B$ and ample $K_X+B$ that has $(K_X+B)^2 = 1/462$. Both examples significantly improve known records.
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