Year: 2025
Type: article
Abstract: Tropical caustic of a convex domain on the plane is a canonically associated tropical analytic curve inside the domain. In this note we give a graphical proof for the classification of its intermediate vertices, implying in particular that they are always trivalent. Apart from that we explain how various known examples of tropical caustics are constructed and discuss the posibility of relaxing the convexity conditionon for the domain.
Source: Serdica Mathematical Journal
Author: Mikhail Shkolnikov
Institution: Institute of Mathematics and Informatics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Science Foundation Ireland
OpenAlex ID: W4415139142
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