Counting lines on surfaces
Samuel Boissière, Alessandra Sarti (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
This paper deals with surfaces with many lines. It is well-known that a cubic contains of them and that the maximal number for a quartic is . In higher degree the question remains open. Here we study classical and new constructions of surfaces with high number of lines. We obtain a symmetric octic with lines, and give examples of surfaces of degree containing a sequence of skew lines.