arXiv:2005.14544 Abstract | arXiv Analytics

arXiv:2005.14544 [math.AG]Abstract References Reviews Resources

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

Published 2020-05-28Version 1

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 lift to characteristic zero over a smooth base.

Comments: 81 pages. arXiv admin note: text overlap with arXiv:alg-geom/9707016 by other authors

Categories: math.AG

Subjects: 14J26, 14J45

Keywords: log del pezzo surfaces, picard number, algebraically closed fields, smooth base, characteristic zero

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