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# g-Elements of matroid complexes

@article{Swartz2003gElementsOM, title={g-Elements of matroid complexes}, author={Ed Swartz}, journal={J. Comb. Theory, Ser. B}, year={2003}, volume={88}, pages={369-375} }

- Published 2003 in J. Comb. Theory, Ser. B
DOI:10.1016/S0095-8956(03)00038-8

A g-element for a graded R-module is a one-form with properties similar to a Lefschetz class in the cohomology ring of a compact complex projective manifold, except that the induced multiplication maps are injections instead of bijections. We show that if k(∆) is the face ring of the independence complex of a matroid and the characteristic of k is zero, then there is a non-empty Zariski open subset of pairs (Θ, ω) such that Θ is a linear set of paramenters for k(∆) and ω is a g-element for k… CONTINUE READING