7 citations · 13 across the 18 of their papers we have counts for
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math.AC2016
Free and Non-free Multiplicities on the Arrangement
Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +1
We give a complete classification of free and non-free multiplicities on the braid arrangement. Namely, we show that all free multiplicities on fall into two families t…
math.AC2016
Generalized Splines and Graphic Arrangements
Michael DiPasquale
We define a chain complex for generalized splines on graphs, analogous to that introduced by Billera and refined by Schenck-Stillman for splines on polyhedral complexes. The hyperh…
math.AC2016
Semialgebraic Splines
Michael DiPasquale, Frank Sottile, Lanyin Sun
Semialgebraic splines are functions that are piecewise polynomial with respect to a cell decomposition into sets defined by polynomial inequalities. We study bivariate semialgebrai…