Cycles, cocycles, and duality on tropical manifolds
From MaRDI portal
Publication:4985378
DOI10.1090/proc/15468zbMath1460.14141arXiv1910.04805OpenAlexW3122405990MaRDI QIDQ4985378
Farbod Shokrieh, Andreas Gross
Publication date: 23 April 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04805
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Combinatorial aspects of matroids and geometric lattices (05B35) Foundations of tropical geometry and relations with algebra (14T10)
Related Items
Lagrangian geometry of matroids ⋮ On the birational geometry of matroids ⋮ Lefschetz section theorems for tropical hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intersections on tropical moduli spaces
- Tropical intersection theory from toric varieties
- Matroid polytopes, nested sets and Bergman fans
- First steps in tropical intersection theory
- Elimination theory for tropical varieties
- A tropical toolkit
- Piecewise polynomials, Minkowski weights, and localization on toric varieties
- Hodge theory for combinatorial geometries
- Superforms, tropical cohomology, and Poincaré duality
- The diagonal of tropical matroid varieties and cycle intersections
- Intersection theory on toric varieties
- The Bergman complex of a matroid and phylogenetic trees
- Poincaré Duality of Wonderful Compactifications and Tautological Rings
- Lefschetz (1,1)-theorem in tropical geometry
- Cocycles on tropical varieties via piecewise polynomials
- A Tropical Intersection Product in Matroidal Fans
- Decomposition of Birational Toric Maps in Blow-Ups and Blow-Downs
- Compactifications of subvarieties of tori