Enumeration of algebraic and tropical singular hypersurfaces

DOI10.1090/tran/8753OpenAlexW3096132070MaRDI QIDQ5045611

Uriel Sinichkin

Publication date: 7 November 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02346

zbMATH Keywords

high dimensional tropical geometryreal singular hypersurfacetropical singular hypersurface

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Real algebraic sets (14P05) Singularities of surfaces or higher-dimensional varieties (14J17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Combinatorial aspects of algebraic geometry (05E14) Applications of tropical geometry (14T90)

Related Items (1)

Towards tropically counting binodal surfaces

Cites Work

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• Tropical curves with a singularity in a fixed point
• Singular tropical hypersurfaces
• Counting curves via lattice paths in polygons
• Enumeration of complex and real surfaces via tropical geometry
• Tropical surface singularities
• Discriminants, resultants, and multidimensional determinants
• Convex Polytopes
• Enumerative tropical algebraic geometry in ℝ²
• A tropical approach to enumerative geometry
• Tropical algebraic geometry
• The complete classification of empty lattice 4-simplices

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