A explicit two-step resolution of singularities for configuration hypersurfaces is constructed via normalized Nash blow-ups identified with Bloch incidence varieties followed by smooth tropical compactifications using bipermutohedral matroid combinatorics.
[BMW24] Daniel Bath, Mircea Mustat ¸˘ a, and Uli Walther.Singularities of square-free polynomials
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Tropical resolutions of configuration hypersurfaces
A explicit two-step resolution of singularities for configuration hypersurfaces is constructed via normalized Nash blow-ups identified with Bloch incidence varieties followed by smooth tropical compactifications using bipermutohedral matroid combinatorics.