An Octanomial Model for Cubic Surfaces

DOI10.4418/2020.75.2.8zbMath1451.14116arXiv1908.06106MaRDI QIDQ5140687

Marta Panizzut, Bernd Sturmfels, Emre Can Sertöz

Publication date: 16 December 2020

Full work available at URL: https://arxiv.org/abs/1908.06106

zbMATH Keywords

moduli spacescubic surfacesline arrangementstropical geometry\(p\)-adic

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10) Local ground fields in algebraic geometry (14G20) Configurations and arrangements of linear subspaces (14N20)

Related Items

Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization, The number of cubic surfaces with 27 lines over a finite field, The Eckardt point configuration of cubic surfaces revisited, Toric eigenvalue methods for solving sparse polynomial systems, Lines on \(p\)-adic and real cubic surfaces, Twenty-seven questions about the cubic surface, On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form, All lines on a smooth cubic surface in terms of three skew lines, Tropical Lines on Cubic Surfaces

Uses Software

• Macaulay2
• Magma
• Maple

Cites Work

• The Schläfli Fan
• Tropicalization of del Pezzo surfaces
• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• The Magma algebra system. I: The user language
• Tropical homology
• Constructing Optimal Trees from Quartets
• Del Pezzo Moduli via Root Systems
• A Tropical Intersection Product in Matroidal Fans
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