On minimal Gorenstein Hilbert function
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910440838135808 |
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| author | Bezerra, Lenin Gondim, Rodrigo Ilardi, Giovanna Zappalà, Giuseppe |
| author_facet | Bezerra, Lenin Gondim, Rodrigo Ilardi, Giovanna Zappalà, Giuseppe |
| contents | We conjecture that a class of Artinian Gorenstein Hilbert algebras called full Perazzo algebras always have minimal Hilbert function, fixing codimension and length. We prove the conjecture in length four and five, in low codimension. We also prove the conjecture for a particular subclass of algebras that occurs in every length and certain codimensions. As a consequence of our methods we give a new proof of part of a known result about the asymptotic behavior of the minimum entry of a Gorenstein Hilbert function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05572 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On minimal Gorenstein Hilbert function Bezerra, Lenin Gondim, Rodrigo Ilardi, Giovanna Zappalà, Giuseppe Algebraic Geometry We conjecture that a class of Artinian Gorenstein Hilbert algebras called full Perazzo algebras always have minimal Hilbert function, fixing codimension and length. We prove the conjecture in length four and five, in low codimension. We also prove the conjecture for a particular subclass of algebras that occurs in every length and certain codimensions. As a consequence of our methods we give a new proof of part of a known result about the asymptotic behavior of the minimum entry of a Gorenstein Hilbert function. |
| title | On minimal Gorenstein Hilbert function |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2206.05572 |