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• W2963054927 abstract "We study consequences, for a standard graded algebra , of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve to the case of a hypersurface in a linear space. Second, assuming a certain Lefschetz condition, we give a connection to extremal behavior in Macaulay's theorem. We apply these results to show that ( 1 , 19 , 17 , 19 , 1 ) is not a Gorenstein sequence, and as a result we classify the sequences of the form ( 1 , a , a − 2 , a , 1 ) that are Gorenstein sequences." @default.
• W2963054927 created "2019-07-30" @default.
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• W2963054927 date "2018-02-01" @default.
• W2963054927 modified "2023-09-24" @default.
• W2963054927 title "Green's theorem and Gorenstein sequences" @default.
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• W2963054927 doi "https://doi.org/10.1016/j.jpaa.2017.04.010" @default.
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