Green's theorem and Gorenstein sequences
| Autor: | Ahn, Jeaman, Migliore, Juan C., Shin, Yong-Su |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 20 pages |
| Databáze: | arXiv |
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