Hodge theory in combinatorics
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Publication:4598015
DOI10.1090/bull/1599zbMath1376.05046arXiv1705.07960OpenAlexW2963507820MaRDI QIDQ4598015
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Publication date: 19 December 2017
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.07960
Singularities in algebraic geometry (14B05) Hodge theory in global analysis (58A14) Combinatorial aspects of matroids and geometric lattices (05B35) Coloring of graphs and hypergraphs (05C15)
Related Items (10)
Top-heavy phenomena for transformations ⋮ Partial symmetries of iterated plethysms ⋮ Harmonic representatives in homology over arbitrary fields ⋮ Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers ⋮ Essence of independence: Hodge theory of matroids since June Huh ⋮ Combinatorial geometry takes the lead ⋮ Log-concave Gorenstein sequences ⋮ Convolution of a symmetric log-concave distribution and a symmetric bimodal distribution can have any number of modes ⋮ Divisors on matroids and their volumes ⋮ Divisors on matroids and their volumes
Cites Work
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- The Hodge theory of Soergel bimodules.
- Log-concavity and strong log-concavity: a review
- Hard Lefschetz theorem for simple polytopes
- The \(f\)-vector of a representable-matroid complex is log-concave
- Combinatorics and topology of complements of hyperplanes
- On simple polytopes
- Hodge theory for combinatorial geometries
- A tropical approach to a generalized Hodge conjecture for positive currents
- Enumeration of points, lines, planes, etc.
- Chow rings of toric varieties defined by atomic lattices
- Wonderful models of subspace arrangements
- Log-concavity of characteristic polynomials and the Bergman fan of matroids
- Tropical cycles and Chow polytopes
- Toric and tropical compactifications of hyperplane complements
- Characteristic polynomials of subspace arrangements and finite fields
- Matroid Theory for Algebraic Geometers
- Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs
- Hodge Theory of Matroids
- Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations
- The decomposition theorem, perverse sheaves and the topology of algebraic maps
- Shellable and Cohen-Macaulay Partially Ordered Sets
- The Broken-Circuit Complex
- Lectures on Polytopes
- Almost all matroids are nonrepresentable
- The Hard Lefschetz Theorem and the topology of semismall maps
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