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arxiv: math/0606100 · v1 · submitted 2006-06-05 · 🧮 math.AG

Counting lines on surfaces

classification 🧮 math.AG
keywords linessurfacesnumberclassicalconstructionscontainscountingcubic
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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 in particular a symmetric octic with 352 lines.

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