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Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three (2012.09405v2)
Published 17 Dec 2020 in math.AG
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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