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math.AG2022
The local motivic monodromy conjecture for simplicial nondegenerate singularities
Matt Larson, Sam Payne, Alan Stapledon
We prove the local motivic monodromy conjecture for singularities that are nondegenerate with respect to a simplicial Newton polyhedron. It follows that all poles of the local topo…
math.CO2022★ 2 cited
Resolutions of local face modules, functoriality, and vanishing of local -vectors
Matt Larson, Sam Payne, Alan Stapledon
We study the local face modules of triangulations of simplices, i.e., the modules over face rings whose Hilbert functions are local -vectors. In particular, we give resolutions…