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arXiv · 1902.00102

Log surfaces of Picard rank one from four lines in the plane

Valery Alexeev·Wenfei Liu
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Abstract

We derive simple formulas for the basic numerical invariants of a singular surface with Picard number one obtained by blowups and contractions of the four-line configuration in the plane. As an application, we establish the smallest positive volume and the smallest accumulation point of volumes of log canonical surfaces obtained in this way.

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Valery Alexeev, Wenfei Liu. 2019-01-31. Log surfaces of Picard rank one from four lines in the plane. https://arxiv.org/abs/1902.00102

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