112 lines on smooth quartic surfaces (characteristic 3)

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Original languageEnglish
Pages (from-to)941-951
Number of pages11
JournalQuarterly Journal of Mathematics
Volume66
Issue number3
Publication statusPublished - 2 Jun 2015

Abstract

Over a field k of characteristic 3, we prove that there are no smooth quartic surfaces S in IP^3 with more than 112 lines. Moreover, the surface with 112 lines is projectively equivalent over k-bar to the Fermat quartic. As a key ingredient, we derive a characteristic free upper bound for the number of lines met by a quadric on a smooth quartic surface.

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112 lines on smooth quartic surfaces (characteristic 3). / Rams, Sławomir; Schütt, Matthias.
In: Quarterly Journal of Mathematics, Vol. 66, No. 3, 02.06.2015, p. 941-951.

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