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Some algebras with the weak Lefschetz property

2016/06/06 by Cook, David, Nagel, Uwe
#05B45 #05E40 #13E10 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.01812

Abstract

Using a connection to lozenge tilings of triangular regions, we establish an easily checkable criterion that guarantees the weak Lefschetz property of a quotient by a monomial ideal. It is also shown that each such ideal also has a semistable syzygy bundle.

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