On rank one log del Pezzo surfaces in characteristic different from two and three

2020/05/28 by Lacini, Justin · 3 citations
#14J26 #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.14544

Abstract

We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequences of the classification. For example, we show that log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic higher than five admit a log resolution that lifts to characteristic zero over a smooth base.

Cited by

• A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three
• Endomorphisms of rank one Gorenstein del Pezzo surfaces
• On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields

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