Counting lines on surfaces

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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.
17 pages

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Algebraic Geometry, Primary 14N10; Secondary 14Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/113023

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606100
 http://arxiv.org/abs/math/0606100

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arXiv