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arxiv: 1606.01812 · v1 · pith:WJTUQLILnew · submitted 2016-06-06 · 🧮 math.AC · math.CO

Some algebras with the weak Lefschetz property

classification 🧮 math.AC math.CO
keywords ideallefschetzpropertyweakalgebrasbundlecheckableconnection
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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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