On homological properties of some Cynk-Szemberg octic hyperplane arrangements
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912823614898176 |
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| author | Janasz, Marek Pokora, Piotr |
| author_facet | Janasz, Marek Pokora, Piotr |
| contents | In this paper we study Cynk-Szemberg octic hyperplane arrangements from the perspective of homological properties of their derivation modules. In particular, we define the notion of the type of hyperplane arrangements that will be used in our characterization of rigid Cynk-Szemberg octic hyperplane arrangements. Moreover, we deliver a combinatorial non-freeness criterion for essential hyperplane arrangements in $\mathbb{C}^{4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On homological properties of some Cynk-Szemberg octic hyperplane arrangements Janasz, Marek Pokora, Piotr Algebraic Geometry Commutative Algebra Combinatorics 14N20, 32S22, 52C35 In this paper we study Cynk-Szemberg octic hyperplane arrangements from the perspective of homological properties of their derivation modules. In particular, we define the notion of the type of hyperplane arrangements that will be used in our characterization of rigid Cynk-Szemberg octic hyperplane arrangements. Moreover, we deliver a combinatorial non-freeness criterion for essential hyperplane arrangements in $\mathbb{C}^{4}$. |
| title | On homological properties of some Cynk-Szemberg octic hyperplane arrangements |
| topic | Algebraic Geometry Commutative Algebra Combinatorics 14N20, 32S22, 52C35 |
| url | https://arxiv.org/abs/2502.17031 |