Counting lines on surfaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 6 (2007) no. 1, p. 39-52

This paper deals with surfaces with many lines. It is well-known that a cubic contains $27$ of them and that the maximal number for a quartic is $64$. 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 $352$ lines, and give examples of surfaces of degree $d$ containing a sequence of $d\left(d-2\right)+4$ skew lines.

Classification:  14N10,  14Q10
@article{ASNSP_2007_5_6_1_39_0,
author = {Boissi\ere, Samuel and Sarti, Alessandra},
title = {Counting lines on surfaces},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 6},
number = {1},
year = {2007},
pages = {39-52},
zbl = {1150.14013},
mrnumber = {2341513},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2007_5_6_1_39_0}
}

Boissière, Samuel; Sarti, Alessandra. Counting lines on surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 6 (2007) no. 1, pp. 39-52. http://www.numdam.org/item/ASNSP_2007_5_6_1_39_0/`

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