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arXiv · 1501.06982

The quadratic complete intersections with the action of the symmetric group

Tadahito Harima·Akihito Wachi·Junzo Watanabe
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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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Tadahito Harima, Akihito Wachi, Junzo Watanabe. 2015-05-10. The quadratic complete intersections with the action of the symmetric group. https://arxiv.org/abs/1501.06982

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