Lines on quartic surfaces
Date
2017
Authors
Degtyarev, A.
Itenberg, I.
Sertöz, A.S.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Mathematische annalen
Print ISSN
0025-5831
Electronic ISSN
1432-1807
Publisher
Springer
Volume
368
Issue
1-2
Pages
753 - 809
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all quartics containing more than 52 lines: all such quartics are projectively rigid. Any value not exceeding 52 can appear as the number of lines of an appropriate quartic. © 2016, Springer-Verlag Berlin Heidelberg.