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Archiv der Mathematik

, Volume 113, Issue 1, pp 43–51 | Cite as

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

  • Tadahito HarimaEmail author
  • Akihito Wachi
  • Junzo Watanabe
Article
  • 21 Downloads

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.

Keywords

Strong Lefschetz property Complete intersection Central simple module 

Mathematics Subject Classification

Primary 13C40 Secondary 13E10 

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Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tadahito Harima
    • 1
    Email author
  • Akihito Wachi
    • 2
  • Junzo Watanabe
    • 3
  1. 1.Department of Mathematics EducationNiigata UniversityNiigataJapan
  2. 2.Department of MathematicsHokkaido University of EducationKushiroJapan
  3. 3.Department of MathematicsTokai UniversityHiratsukaJapan

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