Combinatorics of Fulton's essential set
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Publication:1816468
DOI10.1215/S0012-7094-96-08502-6zbMath0859.05003OpenAlexW2001982243MaRDI QIDQ1816468
Svante Linusson, Kimmo Eriksson
Publication date: 7 April 1997
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08502-6
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items (16)
Diagrams and essential sets for signed permutations ⋮ Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures ⋮ On the diagram of 132-avoiding permutations ⋮ IRREDUCIBLE DECOMPOSITIONS OF DEGENERACY LOCI OF MATRICES ⋮ On tangent cones of Schubert varieties ⋮ A tightness property of relatively smooth permutations ⋮ Decompositions of determinantal varieties ⋮ Vexillary signed permutations revisited ⋮ Convex \((0, 1)\)-matrices and their epitopes ⋮ A solution to one of Knuth's permutation problems ⋮ Bigrassmannian permutations and Verma modules ⋮ Some combinatorial results on smooth permutations ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ Presenting the cohomology of a Schubert variety ⋮ Alternating sign matrices: extensions, König-properties, and primary sum-sequences ⋮ A decomposition of \(\text{Fl}(n)^d\) indexed by permutation arrays
Cites Work
- Shuffle of parenthesis systems and Baxter permutations
- Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
- The number of Baxter permutations
- Some combinatorial properties of Schubert polynomials
- On Fixed Points of the Composite of Commuting Functions
- The size of Fulton's essential set
- The size of Fulton's essential set
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