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math.AC2018
Asymptotic resurgence via integral closures
Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +1
Given an ideal in a polynomial ring, we show that the asymptotic resurgence studied by Guardo, Harbourne, and Van Tuyl can be computed using integral closures. As a consequence, th…
math.AG2018
A homological characterization for freeness of multi-arrangements
Michael DiPasquale
Building on work of Brandt and Terao in their study of -formality, we introduce a co-chain complex associated to a multi-arrangement and prove that its cohomologies determine fr…