Under explicit numerical inequalities, the cokernel of a matrix whose maximal minors define a codimension-three ideal has the Weak Lefschetz Property, and its non-Lefschetz locus is concentrated in one degree.
The non- Lefschetz locus, Journal of Algebra 505: 288-320 (2018)
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Symmetry, Unimodality, and Lefschetz Properties for Graded Modules
Under explicit numerical inequalities, the cokernel of a matrix whose maximal minors define a codimension-three ideal has the Weak Lefschetz Property, and its non-Lefschetz locus is concentrated in one degree.