Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910021245206528 |
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| author | Bertone, Cristina Cioffi, Francesca Orth, Matthias Seiler, Werner M. |
| author_facet | Bertone, Cristina Cioffi, Francesca Orth, Matthias Seiler, Werner M. |
| contents | Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of marked bases, an elementary and effective proof of the openness of arithmetically Cohen-Macaulay, arithmetically Gorenstein and strict complete intersection loci in a Hilbert scheme follows, for a non-constant Hilbert polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases Bertone, Cristina Cioffi, Francesca Orth, Matthias Seiler, Werner M. Commutative Algebra Algebraic Geometry 13C14, 13P10, 14J10, 14M05, 14Q15, 68W30 Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of marked bases, an elementary and effective proof of the openness of arithmetically Cohen-Macaulay, arithmetically Gorenstein and strict complete intersection loci in a Hilbert scheme follows, for a non-constant Hilbert polynomial. |
| title | Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases |
| topic | Commutative Algebra Algebraic Geometry 13C14, 13P10, 14J10, 14M05, 14Q15, 68W30 |
| url | https://arxiv.org/abs/2410.17090 |