On quartics with lines of the second kind

Abstract

We study the geometry of quartic surfaces in IP^3 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.

22 pages

References in corpus (1)

• Counting lines on surfaces

Cited by in corpus (4)

• 64 lines on smooth quartic surfaces
• Counting lines on surfaces, especially quintics
• The maximum number of lines lying on a K3 quartic surface
• Lines on K3 quartic surfaces in characteristic 3