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

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Original languageEnglish
Pages (from-to)76-95
Number of pages20
JournalNagoya mathematical journal
Volume232
Early online date31 May 2017
Publication statusPublished - Dec 2018

Abstract

Let be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces S ⊂ ℙ3 k 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.

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At most 64 lines on smooth quartic surfaces (characteristic 2). / Rams, Sławomir; Schütt, Matthias.
In: Nagoya mathematical journal, Vol. 232, 12.2018, p. 76-95.

Research output: Contribution to journalArticleResearchpeer review

Rams S, Schütt M. At most 64 lines on smooth quartic surfaces (characteristic 2). Nagoya mathematical journal. 2018 Dec;232:76-95. Epub 2017 May 31. doi: 10.48550/arXiv.1512.01358, 10.1017/nmj.2017.21
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