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The strong Lefschetz property for complete intersections defined by products of linear forms

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Abstract

We prove the strong Lefschetz property for certain complete intersections defined by products of linear forms, using a characterization of the strong Lefschetz property in terms of central simple modules.

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Authors and Affiliations

  1. Department of Mathematics Education, Niigata University, Niigata, 950-2181, Japan

    Tadahito Harima

  2. Department of Mathematics, Hokkaido University of Education, Kushiro, 085-8580, Japan

    Akihito Wachi

  3. Department of Mathematics, Tokai University, Hiratsuka, 259-1292, Japan

    Junzo Watanabe

Authors
  1. Tadahito Harima
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  2. Akihito Wachi
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  3. Junzo Watanabe
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Correspondence to Tadahito Harima.

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This work was supported by JSPS KAKENHI Grant Number 15K04812.

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Harima, T., Wachi, A. & Watanabe, J. The strong Lefschetz property for complete intersections defined by products of linear forms. Arch. Math. 113, 43–51 (2019). https://doi.org/10.1007/s00013-019-01313-w

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  • DOI: https://doi.org/10.1007/s00013-019-01313-w

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