Logarithmic Fulton--MacPherson configuration spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913153363738624 |
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| author | Mok, Siao Chi |
| author_facet | Mok, Siao Chi |
| contents | Using techniques in logarithmic geometry, we construct a logarithmic analogue of the Fulton--MacPherson configuration spaces. We similarly construct a logarithmically smooth degeneration of the Fulton--MacPherson configuration spaces. Both constructions parametrise point configurations on certain target degenerations arising from both logarithmic geometry and the original Fulton--MacPherson construction. The degeneration satisfies a "degeneration formula" -- each irreducible component of its special fibre can be described as a proper birational modification of a product of logarithmic Fulton--MacPherson configuration spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17563 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic Fulton--MacPherson configuration spaces Mok, Siao Chi Algebraic Geometry 14A21, 14D23 (Primary), 14D06, 14T90 (Secondary) Using techniques in logarithmic geometry, we construct a logarithmic analogue of the Fulton--MacPherson configuration spaces. We similarly construct a logarithmically smooth degeneration of the Fulton--MacPherson configuration spaces. Both constructions parametrise point configurations on certain target degenerations arising from both logarithmic geometry and the original Fulton--MacPherson construction. The degeneration satisfies a "degeneration formula" -- each irreducible component of its special fibre can be described as a proper birational modification of a product of logarithmic Fulton--MacPherson configuration spaces. |
| title | Logarithmic Fulton--MacPherson configuration spaces |
| topic | Algebraic Geometry 14A21, 14D23 (Primary), 14D06, 14T90 (Secondary) |
| url | https://arxiv.org/abs/2503.17563 |