Graham Denham: The Leray model of a matroid

We construct a combinatorial abstraction of the Leray spectral sequence associated with the De Concini–Procesi compactification of a complex hyperplane arrangement complement.  We show that its homological properties generalise the ones that we expect from topology in the realizable case.  Geometric and Hodge-theoretic arguments are replaced by combinatorial blowups, Gröbner bases, and sheaves on posets.

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