Bitangents of tropical plane quartic curves

被引：0
|
作者：
Matthew Baker
Yoav Len
Ralph Morrison
Nathan Pflueger
Qingchun Ren
机构：
[1] Georgia Institute of Technology,School of Mathematics
[2] Universität des Saarlandes,Fachrichtung Mathematik
[3] KTH,Department of Mathematics
[4] Harvard University,Department of Mathematics
[5] Google Inc.,undefined
来源：
Mathematische Zeitschrift | 2016年 / 282卷
关键词：
Tropical geometry; Tropical curves; Algebraic geometry; Plane quartics; 14T05; 14H45; 14H50; 14H51;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For example, we show that every such curve admits either infinitely many or exactly 7 bitangent lines. We also prove that a smooth tropical plane quartic curve cannot be hyperelliptic.
引用
收藏
页码：1017 / 1031
页数：14
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