The quadratic complete intersections with the action of the symmetric group

2015/01/28 by Tadahito Harima, Harima, Tadahito, Akihito Wachi +3
Computer Science · Engineering · Mathematics · #13A02 (secondary) #13A50 (primary) #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1501.06982

openalex publication_date 2015/01/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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