Wonderful compactifications and rational curves with cyclic action
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908406498983936 |
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| author | Clader, Emily Damiolini, Chiara Li, Shiyue Ramadas, Rohini |
| author_facet | Clader, Emily Damiolini, Chiara Li, Shiyue Ramadas, Rohini |
| contents | We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperplane arrangement in a product of projective spaces. By proving a general result on such wonderful compactifications, we conclude that this moduli space is Chow-equivalent to an explicit toric variety (whose fan can be understood as a tropical version of the moduli space), from which a computation of its Chow ring follows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05463 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Wonderful compactifications and rational curves with cyclic action Clader, Emily Damiolini, Chiara Li, Shiyue Ramadas, Rohini Algebraic Geometry Combinatorics 14H10, 14N20, 14T99 We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperplane arrangement in a product of projective spaces. By proving a general result on such wonderful compactifications, we conclude that this moduli space is Chow-equivalent to an explicit toric variety (whose fan can be understood as a tropical version of the moduli space), from which a computation of its Chow ring follows. |
| title | Wonderful compactifications and rational curves with cyclic action |
| topic | Algebraic Geometry Combinatorics 14H10, 14N20, 14T99 |
| url | https://arxiv.org/abs/2208.05463 |