The Maschke octic contains 96 pairwise disjoint lines
Abstract
Miyaoka proved that a smooth surface of degree d in P3(C) contains at most 2d(d-2) pairwise disjoint lines. In this note, we verify that the Maschke octic contains 96 pairwise disjoint lines, thereby proving that Miyaoka's bound is optimal for d=8.
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