Superforms, tropical cohomology, and Poincaré duality
From MaRDI portal
Publication:1737117
DOI10.1515/advgeom-2018-0006zbMath1440.14277arXiv1512.07409OpenAlexW2963629624MaRDI QIDQ1737117
Jascha Smacka, Philipp Jell, Kristin M. Shaw
Publication date: 26 March 2019
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.07409
Combinatorial aspects of tropical varieties (14T15) Foundations of tropical geometry and relations with algebra (14T10)
Related Items
A comparison of positivity in complex and tropical toric geometry, A sheaf-theoretic approach to tropical homology, On the tropical Lefschetz-Hopf trace formula, Tropical homology, Constructing smooth and fully faithful tropicalizations for Mumford curves, Tropical Poincaré duality spaces, The tropical Poincaré-Hopf theorem, Tropical Hodge numbers of non-Archimedean curves, Poincaré duality for the tropical Dolbeault cohomology of non-Archimedean Mumford curves, Cycles, cocycles, and duality on tropical manifolds, Lefschetz section theorems for tropical hypersurfaces, Tropical complexes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Poincaré lemma for real-valued differential forms on Berkovich spaces
- Cohomology of sheaves
- Super currents and tropical geometry
- A tropical approach to nonarchimedean Arakelov geometry
- Matroid polytopes, nested sets and Bergman fans
- Hodge theory for combinatorial geometries
- A tropical approach to a generalized Hodge conjecture for positive currents
- Spines for amoebas of rational curves
- Tropical homology
- The Bergman complex of a matroid and phylogenetic trees
- Forms and Currents on the Analytification of an Algebraic Variety (After Chambert-Loir and Ducros)
- A guide to tropicalizations
- Tropical (1, 1)-homology for floor decomposed surfaces
- The Geometry of Schemes
- Lefschetz (1,1)-theorem in tropical geometry
- Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
- Tropical Eigenwave and Intermediate Jacobians
- A Tropical Intersection Product in Matroidal Fans
- The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
- Brief introduction to tropical geometry
