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June 2017 Characterization of Non-F-split del Pezzo Surfaces of Degree 2
Natsuo SAITO
Tokyo J. Math. 40(1): 247-253 (June 2017). DOI: 10.3836/tjm/1502179226

Abstract

We investigate a smooth del Pezzo surface of degree 2 which is not Frobenius split. We give a characterization of non-F-split del Pezzo surfaces of degree 2 which exist only if the characteristic of the ground field is 2 or 3. Moreover, we prove that the set of centers of the blow-ups on $\mathbb{P}^{2}$ which gives a non-F-split del Pezzo surface is projectively equivalent to the only complete 7-arc over $\mathbb{F}_{9}$ if the characteristic is 3.

Citation

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Natsuo SAITO. "Characterization of Non-F-split del Pezzo Surfaces of Degree 2." Tokyo J. Math. 40 (1) 247 - 253, June 2017. https://doi.org/10.3836/tjm/1502179226

Information

Published: June 2017
First available in Project Euclid: 8 August 2017

zbMATH: 06787098
MathSciNet: MR3689989
Digital Object Identifier: 10.3836/tjm/1502179226

Subjects:
Primary: 14J26

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

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Vol.40 • No. 1 • June 2017
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