Counting lines on surfaces
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0606100,
title = {Counting lines on surfaces},
author = {Samuel Boissiere and Alessandra Sarti},
journal= {arXiv preprint arXiv:math/0606100},
year = {2007}
}
备注
17 pages