Counting lines on surfaces, especially quintics

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  • Jagiellonian University
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OriginalspracheEnglisch
Seiten (von - bis)859-890
Seitenumfang32
FachzeitschriftAnnali della Scuola Normale - Classe di Scienze
Jahrgang20
Ausgabenummer3
PublikationsstatusVeröffentlicht - 11 Sept. 2020

Abstract

We introduce certain rational functions on a smooth projective surface X in IP^3 which facilitate counting the lines on X. We apply this to smooth quintics in characteristic zero to prove that they contain no more than 127 lines, and that any given line meets at most 28 others. We construct examples which demonstrate that the latter bound is sharp.

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Counting lines on surfaces, especially quintics. / Rams, Sławomir; Schütt, Matthias.
in: Annali della Scuola Normale - Classe di Scienze, Jahrgang 20, Nr. 3, 11.09.2020, S. 859-890.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Rams S, Schütt M. Counting lines on surfaces, especially quintics. Annali della Scuola Normale - Classe di Scienze. 2020 Sep 11;20(3):859-890. doi: 10.2422/2036-2145.201804_024
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