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Counting lines on surfaces

Samuel Boissiere·Alessandra Sarti
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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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Samuel Boissiere, Alessandra Sarti. 2006-06-05. Counting lines on surfaces. https://arxiv.org/abs/math/0606100

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