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arXiv · 2512.12294

A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three

Masaru Nagaoka
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Abstract

This paper reviews Lacini's classification [Lac24] of log del Pezzo surfaces of rank one in characteristics different from two and three, with a focus on where and how Lacini enhanced the techniques of Keel and McKernan [KM99]. We point out that there is at most one log del Pezzo surface that may have been erroneously omitted from the list in [Lac24, \S 6.1], namely the surface in Example 3.13. We also extend the results of [Lac24 \S 4.2] to arbitrary characteristic.

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Masaru Nagaoka. 2025-12-13. A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three. https://arxiv.org/abs/2512.12294

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