Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three

2020/12/17 by Tatsuro Kawakami, Kawakami, Tatsuro, Masaru Nagaoka +1
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2012.09405

Abstract

In this paper, we classify Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. We also show that if a Du Val del Pezzo surface is Frobenius split, then a general anti-canonical member is smooth. Furthermore, in characteristic two, it is an ordinary elliptic curve.

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