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Smooth tropical surfaces with infinitely many tropical lines

Magnus Dehli Vigeland Department of Mathematics, University of Oslo

TBD mathscidoc:1701.333159

Arkiv for Matematik, 48, (1), 177-206, 2008.1
We study the tropical lines contained in smooth tropical surfaces in ℝ^{3}. On smooth tropical quadric surfaces we find two one-dimensional families of tropical lines, like in classical algebraic geometry. Unlike the classical case, however, there exist smooth tropical surfaces of any degree with infinitely many tropical lines.
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@inproceedings{magnus2008smooth,
  title={Smooth tropical surfaces with infinitely many tropical lines},
  author={Magnus Dehli Vigeland},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203626125973968},
  booktitle={Arkiv for Matematik},
  volume={48},
  number={1},
  pages={177-206},
  year={2008},
}
Magnus Dehli Vigeland. Smooth tropical surfaces with infinitely many tropical lines. 2008. Vol. 48. In Arkiv for Matematik. pp.177-206. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203626125973968.
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