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math.AC2017
Free Multiplicities on the moduli of
Michael DiPasquale, Max Wakefield
In this note we study the freeness of the module of derivations on all moduli of the arrangement with multiplicities. We use homological techniques stemming from work of Yuzv…
math.AC2017
The Rees algebra of a two-Borel ideal is Koszul
Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +2
Let and be two monomials of the same degree, and let be the smallest Borel ideal containing and . We show that the toric ring of is Koszul by constructing a…
math.AC2017
Inequalities for free multi-braid arrangements
Michael DiPasquale
We prove that, on a large cone containing the constant multiplicities, the only free multiplicities on the braid arrangement are those identified in work of Abe, Nuida, and Numata…