P-Forms from Syzygies
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916830354866176 |
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| author | Muniz, Alan |
| author_facet | Muniz, Alan |
| contents | These notes aim to develop a tool for constructing polynomial differential $p$-forms vanishing on prescribed loci through syzygies of homogeneous ideals. Examples are provided through implementing this method in Macaulay2, particularly examples of instanton bundles of charges $4$ and $5$ on $\mathbb{P}^3$ that arise in this construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11845 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | P-Forms from Syzygies Muniz, Alan Algebraic Geometry Commutative Algebra 14D20, 14J60, 14F06, 13D02 These notes aim to develop a tool for constructing polynomial differential $p$-forms vanishing on prescribed loci through syzygies of homogeneous ideals. Examples are provided through implementing this method in Macaulay2, particularly examples of instanton bundles of charges $4$ and $5$ on $\mathbb{P}^3$ that arise in this construction. |
| title | P-Forms from Syzygies |
| topic | Algebraic Geometry Commutative Algebra 14D20, 14J60, 14F06, 13D02 |
| url | https://arxiv.org/abs/2212.11845 |