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arXiv · 1612.09116

Open surfaces of small volume

Valery Alexeev·Wenfei Liu
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Abstract

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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Valery Alexeev, Wenfei Liu. 2016-12-29. Open surfaces of small volume. https://arxiv.org/abs/1612.09116

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