On quartics with lines of the second kind

Sławomir Rams 1  and Matthias Schütt 2 , 3
  • 1 Institute of Mathematics, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland; Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
  • 2 Funding by ERC StG 279723 (SURFARI) and NCN grant no. N N201 608040 (S. Rams) is gratefully acknowledged.
  • 3 Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany

Abstract

We study the geometry of quartic surfaces in P3 that contain a line of the second kind over algebraically closed fields of characteristic different from 2; 3. In particular, we correct Segre’s claims made for the complex case in 1943.

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