Counting lines on surfaces

2006/06/05 by Boissiere, Samuel, Sarti, Alessandra · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14N10 #Secondary 14Q10

paper · doi:10.48550/arxiv.math/0606100

Abstract

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 in particular a symmetric octic with 352 lines.

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