A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three
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, 6.1], namely the surface in Example 3.13. We also extend the results of [Lac24 4.2] to arbitrary characteristic.
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