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albanese morphism 1conjecture counterexamples 1fiber bundles 1holomorphic one-forms 1homotopy theory 1

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math.CO2026

Singular Hodge theory for combinatorial geometries

Tom Braden, June Huh, Jacob P. Matherne +2

We introduce the intersection cohomology module of a matroid and prove that it satisfies Poincaré duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. As applicat…