754 research outputs found
Log-concavity of matroid h-vectors and mixed Eulerian numbers
For any matroid , we compute the Tutte polynomial using the
mixed intersection numbers of certain tautological classes in the combinatorial
Chow ring arising from Grassmannians. Using mixed Hodge-Riemann
relations, we deduce a strengthening of the log-concavity of the h-vector of a
matroid complex, improving on an old conjecture of Dawson whose proof was
announced recently by Ardila, Denham and Huh.Comment: 29 pages, comments welcome
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