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- W4224312939 abstract "In this paper, we exploit some geometric-differential techniques to prove the strong Lefschetz property in degree $1$ for a complete intersection standard Artinian Gorenstein algebra of codimension $6$ presented by quadrics. We prove also some strong Lefschetz properties for the same kind of Artinian algebras in higher codimensions. Moreover, we analyze some loci that come naturally into the picture of special Artinian algebras: for them, we give some geometric descriptions and show a connection between the non emptiness of the so-called non-Lefschetz locus in degree $1$ and the lifting of a weak Lefschetz property to an algebra from one of its quotients." @default.
- W4224312939 created "2022-04-26" @default.
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- W4224312939 date "2022-04-20" @default.
- W4224312939 modified "2023-10-16" @default.
- W4224312939 title "Lefschetz properties for jacobian rings of cubic fourfolds and other Artinian algebras" @default.
- W4224312939 doi "https://doi.org/10.48550/arxiv.2204.09361" @default.
- W4224312939 hasPublicationYear "2022" @default.
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