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math.AG2023
Poincaré Duality, Degeneracy, and Real Lefschetz Property for T-Hypersurfaces
Jules Chenal
In this article, we present two structural results about the Renaudineau-Shaw spectral sequence that computes the cohomology of T-hypersurfaces. The first is a Poincaré duality sat…
math.AT2023
A Poincaré-Lefschetz Theorem for Cellular Cosheaves and an Application to the Tropical Homology of Orbifold Toric Varieties
Jules Chenal
We begin by presenting a version of the Poincaré-Lefschetz theorem for certain cellular cosheaves on a particular subdivision of a CW-complex K. To that end we construct a cellular…