Geodesic
Counting lines on surfaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 1, pp. 39-52

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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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     author = {Boissi\`ere, Samuel and Sarti, Alessandra},
     title = {Counting lines on surfaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {39--52},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 6},
     number = {1},
     year = {2007},
     mrnumber = {2341513},
     zbl = {1150.14013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_39_0/}
}
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AU  - Sarti, Alessandra
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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://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_39_0/