English

The quadratic complete intersections with the action of the symmetric group

Commutative Algebra 2015-05-12 v2

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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Cite

@article{arxiv.1501.06982,
  title  = {The quadratic complete intersections with the action of the symmetric group},
  author = {Tadahito Harima and Akihito Wachi and Junzo Watanabe},
  journal= {arXiv preprint arXiv:1501.06982},
  year   = {2015}
}

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12 pages