Combinatorial models for the finite-dimensional Grassmannians
From MaRDI portal
Publication:688009
DOI10.1007/BF02573979zbMath0783.52007OpenAlexW2103843044WikidataQ60449049 ScholiaQ60449049MaRDI QIDQ688009
Günter M. Ziegler, Nicolai E. Mnëv
Publication date: 28 November 1993
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131274
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Grassmannians, Schubert varieties, flag manifolds (14M15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items
The moduli space of matroids, Extension spaces of oriented matroids, Tropical geometry over the tropical hyperfield, Flag matroids with coefficients, Triangulations of Grassmannians and flag manifolds, A counterexample to Las Vergnas' strong map conjecture on realizable oriented matroids, A counterexample to the extension space conjecture for realizable oriented matroids, Oriented matroids with few mutations, ``What is a complex matroid?, A note on the tangent bundle and Gauss functor of posets and manifolds, Grassmannians and pseudosphere arrangements, Projections of polytopes and the generalized Baues conjecture, Combinatorial flag varieties, A counterexample to the extension space conjecture for realizable oriented matroids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological representation of dual pairs of oriented matroids
- Oriented matroids with few mutations
- Two constructions of oriented matroids with disconnected extension space
- Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
- Oriented matroids
- Extension spaces of oriented matroids
- A combinatorial formula for the Pontrjagin classes
- Cellular Strings on Polytopes
