Tropical Lines on Cubic Surfaces

DOI10.1137/20M136520XOpenAlexW4210888357MaRDI QIDQ5028361

Marta Panizzut, Magnus Dehli Vigeland

Publication date: 9 February 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3847

zbMATH Keywords

tropical linestropical cubic surfaces

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05)

Related Items

Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization, Computing zero-dimensional tropical varieties via projections, A tropical count of real bitangents to plane quartic curves, Tropically constructed Lagrangians in mirror quintic threefolds

Uses Software

• polymake
• SINGULAR
• Gfan
• a-tint

Cites Work

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• The Schläfli Fan
• Tropicalization of del Pezzo surfaces
• Triangulations. Structures for algorithms and applications
• Parallel enumeration of triangulations
• Computing tropical linear spaces
• Smooth tropical surfaces with infinitely many tropical lines
• a-tint: a polymake extension for algorithmic tropical intersection theory
• Tropical Computations in polymake
• An Octanomial Model for Cubic Surfaces
• On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form