Free Multiplicities on the moduli of X₃

2017/07/13 by DiPasquale, Michael, Wakefield, Max · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.03961

Abstract

In this note we study the freeness of the module of derivations on all moduli of the X₃ arrangement with multiplicities. We use homological techniques stemming from work of Yuzvinsky, Brandt, and Terao which have recently been developed for multi-arrangements by the first author, Francisco, Mermin, and Schweig.

Cited by

• On Universal derivations for multiarrangements

Related

• Free and Non-free Multiplicities on the A₃ Arrangement
• A homological characterization for freeness of multi-arrangements
• A basis construction of the extended Catalan and Shi arrangements of the type A₂
• Free resolution of the logarithmic derivation modules of close to free arrangements
• Disproof of modularity of moduli space of CY 3-folds of double covers of P3 ramified along eight planes in general positions