Tropical floor plans and enumeration of complex and real multi-nodal surfaces

DOI10.1090/jag/774zbMath1499.14106arXiv1910.08585OpenAlexW3211760425MaRDI QIDQ5080049

Hannah Markwig, Thomas Markwig, Eugenii I. Shustin, Kristin M. Shaw

Publication date: 30 May 2022

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08585

zbMATH Keywords

tropical geometrynodal surfaceslower bounds in enumerative geometry

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Topology of real algebraic varieties (14P25) Classical problems, Schubert calculus (14N15)

Cites Work

• Labeled floor diagrams for plane curves
• Versal deformation of algebraic hypersurfaces with isolated singularities
• Enumeration of complex and real surfaces via tropical geometry
• Planar tropical cubic curves of any genus, and higher dimensional generalisations
• Floor decompositions of tropical curves : the planar case
• Enumerative tropical algebraic geometry in ℝ²
• A tropical count of binodal cubic surfaces
• Tropical algebraic geometry
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