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
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