Finite type and completeness of $g$-fans
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909975906877440 |
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| author | Yurikusa, Toshiya |
| author_facet | Yurikusa, Toshiya |
| contents | We study the $g$-fan associated with a skew-symmetrizable matrix in the sense of cluster algebras. We show that a skew-symmetrizable matrix is of finite type if and only if its $g$-fan is complete; equivalently (as we show), its support contains all lattice points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite type and completeness of $g$-fans Yurikusa, Toshiya Combinatorics 13F60, 05E45 We study the $g$-fan associated with a skew-symmetrizable matrix in the sense of cluster algebras. We show that a skew-symmetrizable matrix is of finite type if and only if its $g$-fan is complete; equivalently (as we show), its support contains all lattice points. |
| title | Finite type and completeness of $g$-fans |
| topic | Combinatorics 13F60, 05E45 |
| url | https://arxiv.org/abs/2512.21603 |