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math.AC2008
Piecewise polynomials on polyhedral complexes
T. McDonald, H. Schenck
For a d-dimensional polyhedral complex P, the dimension of the space of piecewise polynomial functions (splines) on P of smoothness r and degree k is given, for k sufficiently larg…
math.CO2008
Efficient computation of resonance varieties via Grassmannians
P. Lima-Filho, H. Schenck
Associated to the cohomology ring A of the complement X(A) of a hyperplane arrangement A in complex m-space are the resonance varieties R^k(A). The most studied of these is R^1(A),…