Hypergraph associahedra and compactifications of moduli spaces of points
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912026480082944 |
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| author | Bown, Jasper González-Anaya, Javier |
| author_facet | Bown, Jasper González-Anaya, Javier |
| contents | We prove that every Hassett compactification of the moduli space of weighted stable rational curves that admits both a reduction map from the Losev-Manin compactification and a reduction map to projective space is a toric variety, whose corresponding polytope is a hypergraph associahedron (also known as a nestohedron). In addition, we present an analogous result for the moduli space of labeled weighted points in affine space up to translation and scaling. These results are interconnected, and we make their relationship explicit through the concept of ``inflation" of a hypergraph associahedron. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08611 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hypergraph associahedra and compactifications of moduli spaces of points Bown, Jasper González-Anaya, Javier Algebraic Geometry Combinatorics 14H10, 14D20, 52B11 (Primary) 14M25, 05C65, 52B12 (Secondary) We prove that every Hassett compactification of the moduli space of weighted stable rational curves that admits both a reduction map from the Losev-Manin compactification and a reduction map to projective space is a toric variety, whose corresponding polytope is a hypergraph associahedron (also known as a nestohedron). In addition, we present an analogous result for the moduli space of labeled weighted points in affine space up to translation and scaling. These results are interconnected, and we make their relationship explicit through the concept of ``inflation" of a hypergraph associahedron. |
| title | Hypergraph associahedra and compactifications of moduli spaces of points |
| topic | Algebraic Geometry Combinatorics 14H10, 14D20, 52B11 (Primary) 14M25, 05C65, 52B12 (Secondary) |
| url | https://arxiv.org/abs/2409.08611 |