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On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form

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Publication:5140695
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DOI10.4418/2020.75.2.15zbMath1454.14155arXiv1909.09391MaRDI QIDQ5140695

Alheydis Geiger

Publication date: 16 December 2020

Full work available at URL: https://arxiv.org/abs/1909.09391

zbMATH Keywords

cubic surfacestropical geometryrelative realizabilitytropical lines


Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10)


Related Items

Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization, A tropical count of real bitangents to plane quartic curves, Tropical Lines on Cubic Surfaces


Uses Software

  • polymake
  • a-tint
  • GitHub


Cites Work

  • Unnamed Item
  • Unnamed Item
  • Parametrization of the orbits of cubic surfaces
  • Smooth tropical surfaces with infinitely many tropical lines
  • a-tint: a polymake extension for algorithmic tropical intersection theory
  • The Convex Hull of a Variety
  • Tropical Computations in polymake
  • Obstructions to Lifting Tropical Curves in Surfaces in 3-Space
  • An Octanomial Model for Cubic Surfaces
  • Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
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