The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910157355614208 |
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| author | Cavalieri, Renzo Fulghesu, Damiano |
| author_facet | Cavalieri, Renzo Fulghesu, Damiano |
| contents | We compute a presentation for the integral Chow rings of the moduli stacks of degree $2$ maps from smooth rational curves to projective space $\mathbb{P}^r$, as a quotient of a three-variable polynomial ring. The relations as $r$ varies have rich combinatorial structure: all non-trivial relations are encoded by two generating functions which are rational functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19713 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$ Cavalieri, Renzo Fulghesu, Damiano Algebraic Geometry 14C15 (Primary) 14H10, 14D23 (Secondary) We compute a presentation for the integral Chow rings of the moduli stacks of degree $2$ maps from smooth rational curves to projective space $\mathbb{P}^r$, as a quotient of a three-variable polynomial ring. The relations as $r$ varies have rich combinatorial structure: all non-trivial relations are encoded by two generating functions which are rational functions. |
| title | The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$ |
| topic | Algebraic Geometry 14C15 (Primary) 14H10, 14D23 (Secondary) |
| url | https://arxiv.org/abs/2604.19713 |