Counting lines on surfaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 1, pp. 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(d-2)+4 skew lines.

Classification : 14N10, 14Q10
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Boissière, Samuel; Sarti, Alessandra. Counting lines on surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 1, pp. 39-52. http://www.numdam.org/item/ASNSP_2007_5_6_1_39_0/

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