A generalization of $q$-deformation of graphic arrangements to simplicial complexes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913000089190400 |
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| author | Nian, Tongyu |
| author_facet | Nian, Tongyu |
| contents | The purpose of this thesis is to introduce two new kinds of hyperplane arrangements, inspired by the graphic arrangements and $q$-deformations of graphic arrangements. In this thesis, the author extends the definition of $q$-deformation to simplicial complexes, with the conjecture by Nian, Tsujie, Uchiumi and Yoshinaga. The author also investigates a special case called graphic monomial arrangement, including the characteristic polynomials and freeness with a further extension to fields with primitive roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06546 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A generalization of $q$-deformation of graphic arrangements to simplicial complexes Nian, Tongyu Combinatorics The purpose of this thesis is to introduce two new kinds of hyperplane arrangements, inspired by the graphic arrangements and $q$-deformations of graphic arrangements. In this thesis, the author extends the definition of $q$-deformation to simplicial complexes, with the conjecture by Nian, Tsujie, Uchiumi and Yoshinaga. The author also investigates a special case called graphic monomial arrangement, including the characteristic polynomials and freeness with a further extension to fields with primitive roots. |
| title | A generalization of $q$-deformation of graphic arrangements to simplicial complexes |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2601.06546 |