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AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2)
Let $k$ be a field of characteristic $2$ . We give a geometric proof that there are no smooth quartic surfaces $S\subset \mathbb{P}_{k}^{3}$ with more than 64 lines (predating work of Degtyarev which improves this bound to 60). We also exhibit a smooth quartic containing 60 lines which thus attains …