The strong Lefschetz property for complete intersections defined by products of linear forms
Tadahito Harima, Akihito Wachi, Junzo Watanabe
TL;DR
This paper proves the strong Lefschetz property for specific complete intersections formed by products of linear forms, utilizing a characterization involving central simple modules.
Contribution
It introduces a new approach to establish the strong Lefschetz property for these algebraic structures using central simple modules.
Findings
Confirmed the strong Lefschetz property for certain complete intersections
Developed a characterization in terms of central simple modules
Provided a new method for analyzing Lefschetz properties
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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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Advanced Numerical Analysis Techniques