Dihedral sign patterns in $\mathcal{M}_{0,n}$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909770135371776 |
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| author | Cortes, Veronica Calvo Tillmann-Morris, Hannah |
| author_facet | Cortes, Veronica Calvo Tillmann-Morris, Hannah |
| contents | The connected components of $\mathcal{M}_{0,n}(\mathbb{R})$ are in bijection with the $(n-1)!/2$ dihedral orderings of $[n]$. They are all isomorphic. We construct monomial maps between them, and use these maps to prove a conjecture of Arkani-Hamed, He, and Lam in the case of $\mathcal{M}_{0,n}$. Namely, we provide a bijection between connected components and sign patterns that are consistent with the extended $u$-relations for the dihedral embedding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14714 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dihedral sign patterns in $\mathcal{M}_{0,n}$ Cortes, Veronica Calvo Tillmann-Morris, Hannah Combinatorics Algebraic Geometry The connected components of $\mathcal{M}_{0,n}(\mathbb{R})$ are in bijection with the $(n-1)!/2$ dihedral orderings of $[n]$. They are all isomorphic. We construct monomial maps between them, and use these maps to prove a conjecture of Arkani-Hamed, He, and Lam in the case of $\mathcal{M}_{0,n}$. Namely, we provide a bijection between connected components and sign patterns that are consistent with the extended $u$-relations for the dihedral embedding. |
| title | Dihedral sign patterns in $\mathcal{M}_{0,n}$ |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2508.14714 |