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arxiv: 1501.06982 · v2 · pith:4OM6X7SGnew · submitted 2015-01-28 · 🧮 math.AC

The quadratic complete intersections with the action of the symmetric group

classification 🧮 math.AC
keywords completeactiongroupintersectionslefschetzpropertyquadraticstrong
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We prove that any quadratic complete intersection with certain action of the symmetric group has the strong Lefschetz property over a field of characteristic zero. As a consequence of it we construct a new class of homogeneous complete intersections with generators of higher degrees which have the strong Lefschetz property.

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