The quadratic complete intersections with the action of the symmetric group

Published 28 Jan 2015 in math.AC | (1501.06982v2)

Abstract: 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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