Combinatorial patchworking: back from tropical geometry

DOI10.1090/TRAN/9054MaRDI QIDQ6658106

Erwan Brugallé, Lucia López de Medrano, Johannes Rau

Publication date: 8 January 2025

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

Mathematics Subject Classification ID

Classical real and complex (co)homology in algebraic geometry (14F25) Topology of real algebraic varieties (14P25) Polyhedral manifolds (52B70)

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• A note on discrete mixed volume and Hodge-Deligne numbers
• Posets, regular CW complexes and Bruhat order
• A nonalgebraic patchwork
• Triangulations. Structures for algorithms and applications
• On the need of convexity in patchworking
• Viro theorem and topology of real and complex combinatorial hypersurfaces.
• Lefschetz section theorems for tropical hypersurfaces
• Tropical homology
• Is every toric variety an \(M\)-variety?
• Patchworking algebraic curves disproves the Ragsdale conjecture
• Intersection theory on toric varieties
• Combinatorics of Coxeter Groups
• A Viro theorem without convexity hypothesis for trigonal curves
• Euler characteristic of primitiveT-hypersurfaces and maximal surfaces
• Lefschetz (1,1)-theorem in tropical geometry
• The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
• EULER CHARACTERISTIC AND SIGNATURE OF REAL SEMI-STABLE DEGENERATIONS
• Bounding the Betti numbers of real hypersurfaces near the tropical limit

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