Smooth tropical surfaces with infinitely many tropical lines
Smooth tropical surfaces with infinitely many tropical lines
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光滑的热带表面，具有无数条热带线
DOI：
10.1007/s11512-009-0116-2
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
M. D. Vigeland
中科院分区：
文献类型：
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作者：
M. D. Vigeland
研究了光滑热带曲面上的热带线。在光滑的热带二次曲面上，我们发现了两个一维热带线族，就像在经典代数几何中一样。然而，与经典情况不同的是，存在任何程度的光滑热带表面，它具有无限多条热带线。
We study the tropical lines contained in smooth tropical surfaces in ℝ3. 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.