Tropical hyperelliptic curves in the plane

被引：7

作者：

Morrison, Ralph ^{[1
]}

机构：

[1] Williams Coll, Bascom House,33 Stetson Court, Williamstown, MA 01267 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2021年 / 53卷 / 02期

关键词：

Tropical geometry; Metric graphs; Hyperelliptic graphs; Tropical curves; Lattice polygons; RIEMANN-ROCH;

D O I：

10.1007/s10801-019-00933-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

ly, tropical hyperelliptic curves are metric graphs that admit a two-to-one harmonic morphism to a tree. They also appear as embedded tropical curves in the plane arising from triangulations of polygons with all interior lattice points collinear. We prove that hyperelliptic graphs can only arise from such polygons. Along the way, we will prove certain graphs do not embed tropically in the plane due to entirely combinatorial obstructions, regardless of whether their metric is actually hyperelliptic.

引用

页码：369 / 388

页数：20

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