Mathematics > Algebraic Geometry
[Submitted on 14 Mar 2025
]
Title: Planar tropical caustics: trivalency and convexity
Title: 平面热带奇点：三重性和凸性
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 possibility of relaxing the convexity condition for the domain.
Submission history
From: Mikhail Shkolnikov PhD [view email][v1] Fri, 14 Mar 2025 06:55:01 UTC (1,840 KB)
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