Flag matroids with coefficients
From MaRDI portal
Publication:6142421
DOI10.1016/j.aim.2023.109396zbMath1529.05036arXiv2204.04658OpenAlexW4388890444MaRDI QIDQ6142421
Manoel Jarra, Oliver Lorscheid
Publication date: 21 December 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.04658
Combinatorial aspects of tropical varieties (14T15) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projective geometry for blueprints
- On basic concepts of tropical geometry
- Combinatorial models for the finite-dimensional Grassmannians
- Oriented matroids with few mutations
- The moduli space of matroids
- Duality theory for finite and infinite matroids with coefficients
- Perfect matroids
- Valuated matroids
- Majors of geometric strong maps
- A combinatorial perspective on algebraic geometry
- Orientability of matroids
- The core extraction axiom for combinatorial geometries
- Homotopy groups of the combinatorial Grassmannian
- The lattice of flats and its underlying flag matroid polytope
- Coxeter matroids. With illustrations by Anna Borovik
- Combinatorial flag varieties
- On the topology of the combinatorial flag varieties
- Vectors of matroids over tracts
- Hyperfield Grassmannians
- Matroids over partial hyperstructures
- A Grassmann algebra for matroids
- Grassmann-Plücker relations and matroids with coefficients
- \(K\)-theoretic Tutte polynomials of morphisms of matroids
- Quotients of uniform positroids
- Flag matroids: algebra and geometry
- Tropical geometry over the tropical hyperfield
- Tropical flag varieties
- Maps of matroids with applications
- Maps and \(\Delta\)-matroids
- Greedy algorithm and symmetric matroids
- Oriented Matroids
- A counterexample to the extension space conjecture for realizable oriented matroids
- A Natural Family of Flag Matroids
- Strong maps of geometries
- Representations of matroids in semimodular lattices
- Exterior algebras in matroid theory
- Positive tropical flags and the positive tropical Dressian
