Planar tropical cubic curves of any genus, and higher dimensional generalisations

DOI10.4171/LEM/64-3/4-10zbMath1423.14346arXiv1707.09381OpenAlexW2964157483WikidataQ127460223 ScholiaQ127460223MaRDI QIDQ2327754

Erwan Brugallé, Benoît Bertrand, Lucia López de Medrano

Publication date: 15 October 2019

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09381

zbMATH Keywords

tropical homologyfloor compositiontopology of tropical varietiestropical Hodge numbers

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Topological properties in algebraic geometry (14F45)

Related Items

Tropical floor plans and enumeration of complex and real multi-nodal surfaces, Harmonic tropical morphisms and approximation, Towards tropically counting binodal surfaces, A tropical count of binodal cubic surfaces

Uses Software

• cellularSheaves

Cites Work

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• Bounds on the number of connected components for tropical prevarieties
• Chern classes of tropical vector bundles
• First steps in tropical intersection theory
• Branes, superpotentials and superconformal fixed points
• Cellular sheaf cohomology in polymake
• Decomposition into pairs-of-pants for complex algebraic hypersurfaces
• The number of vertices of a tropical curve is bounded by its area
• Enumeration of curves via floor diagrams
• Tropical homology
• How to Repair Tropicalizations of Plane Curves Using Modifications
• Tropical (1, 1)-homology for floor decomposed surfaces
• Monodromy Filtrations and the Topology of Tropical Varieties
• Tropical geometry and the motivic nearby fiber
• Non-archimedean amoebas and tropical varieties
• Floor decompositions of tropical curves : the planar case
• Enumerative tropical algebraic geometry in ℝ²
• INFLECTION POINTS OF REAL AND TROPICAL PLANE CURVES
• Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
• A Tropical Intersection Product in Matroidal Fans
• Brief introduction to tropical geometry
• The Logarithmic Limit-Set of an Algebraic Variety
• On the Betti Numbers of Real Varieties
• Deformation of tropical Hirzebruch surfaces and enumerative geometry