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- W3045339557 abstract "In this paper, we study cubic surfaces in characteristic two from the perspective of positive characteristic commutative algebra and completely classify those which are Frobenius split. In particular, we explicitly describe the finitely many non-$F$-pure cubics (up to projective change of coordinates in $mathbb{P}^3$), exactly one of which is smooth. We also describe the configurations of lines on these cubic surfaces; a cubic surface in characteristic two is Frobenius split unless every pair of intersecting lines meets in an Eckardt point, which, in the smooth case, means no three lines form a triangle." @default.
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- W3045339557 date "2020-07-23" @default.
- W3045339557 modified "2023-10-06" @default.
- W3045339557 title "Cubic Surfaces of Characteristic Two" @default.
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