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arXiv · 1512.01358

At most 64 lines on smooth quartic surfaces (characteristic 2)

Slawomir Rams·Matthias Schütt
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Abstract

Let K be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces in IP^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 the record in characteristic 2.

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Slawomir Rams, Matthias Schütt. 2015-12-04. At most 64 lines on smooth quartic surfaces (characteristic 2). https://doi.org/10.1017/nmj.2017.21

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