Homology of tropical varieties

DOI10.1007/BF03191187zbMath1198.14059arXiv0711.1847MaRDI QIDQ848647

Paul Hacking

Publication date: 4 March 2010

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1847

zbMATH Keywords

weight filtrationtropical geometrytropical compactification

Mathematics Subject Classification ID

Related Items (12)

Boundary complexes and weight filtrations ⋮ Topology of tropical moduli of weighted stable curves ⋮ Torical modification of Newton non-degenerate ideals ⋮ Toric and tropical compactifications of hyperplane complements ⋮ Tropicalization of classical moduli spaces ⋮ Partial resolution by toroidal blow-ups ⋮ Initial degenerations of Grassmannians ⋮ The space of tropically collinear points is shellable ⋮ Tropical geometry and the motivic nearby fiber ⋮ Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry ⋮ The maximum likelihood degree of a very affine variety ⋮ Tropical compactification in log-regular varieties

Cites Work

• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• Elimination theory for tropical varieties
• Higher logarithms
• Geometry in Grassmannians and a generalization of the dilogarithm
• Geometry of Chow quotients of Grassmannians
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Théorie de Hodge. II. (Hodge theory. II)
• The Bergman complex of a matroid and phylogenetic trees
• Compactification of the moduli space of hyperplane arrangements
• Non-archimedean amoebas and tropical varieties
• The tropical Grassmannian
• Compactifications of subvarieties of tori

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