Horospherical stacks and stacky coloured fans
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915173807161344 |
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| author | Monahan, Sean |
| author_facet | Monahan, Sean |
| contents | We introduce a combinatorial theory of horospherical stacks which is motivated by the work of Geraschenko and Satriano on toric stacks. A horospherical stack corresponds to a combinatorial object called a stacky coloured fan. We give many concrete examples, including a class of easy-to-draw examples called coloured fantastacks. The main results in this paper are combinatorial descriptions of horospherical stacks, the morphisms between them, their decolourations, and their good moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01571 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Horospherical stacks and stacky coloured fans Monahan, Sean Algebraic Geometry Combinatorics 14A20 (Primary) 14M27, 14L30, 05E14 (Secondary) We introduce a combinatorial theory of horospherical stacks which is motivated by the work of Geraschenko and Satriano on toric stacks. A horospherical stack corresponds to a combinatorial object called a stacky coloured fan. We give many concrete examples, including a class of easy-to-draw examples called coloured fantastacks. The main results in this paper are combinatorial descriptions of horospherical stacks, the morphisms between them, their decolourations, and their good moduli spaces. |
| title | Horospherical stacks and stacky coloured fans |
| topic | Algebraic Geometry Combinatorics 14A20 (Primary) 14M27, 14L30, 05E14 (Secondary) |
| url | https://arxiv.org/abs/2305.01571 |