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

authored by

Sławomir Rams, Matthias Schütt

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.

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

External Organisation(s)

Jagiellonian University

Type

Artikel

Journal

Nagoya mathematical journal

Volume

232

Pages

76-95

No. of pages

20

ISSN

0027-7630

Publication date

12.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.48550/arXiv.1512.01358 (Access: Offen)
https://doi.org/10.1017/nmj.2017.21 (Access: Geschlossen)