Small resolutions of moduli spaces of scaled curves
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909977902317568 |
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| author | Zahariuc, Adrian |
| author_facet | Zahariuc, Adrian |
| contents | We construct small resolutions of the moduli space $\overline{Q}_n$ of stable scaled $n$-marked lines of Ziltener and Ma'u--Woodward and of the moduli space $\overline{P}_n$ of stable $n$-marked ${\mathbb G}_a$-rational trees introduced in earlier work. The resolution of $\overline{P}_n$ is the augmented wonderful variety corresponding to the graphic matroid of the complete graph. The resolution of $\overline{Q}_n$ is a further blowup, also a wonderful model of an arrangement in ${\mathbb P}^{n-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03721 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Small resolutions of moduli spaces of scaled curves Zahariuc, Adrian Algebraic Geometry Combinatorics 14N20, 14H10, 14E15, 05B35 We construct small resolutions of the moduli space $\overline{Q}_n$ of stable scaled $n$-marked lines of Ziltener and Ma'u--Woodward and of the moduli space $\overline{P}_n$ of stable $n$-marked ${\mathbb G}_a$-rational trees introduced in earlier work. The resolution of $\overline{P}_n$ is the augmented wonderful variety corresponding to the graphic matroid of the complete graph. The resolution of $\overline{Q}_n$ is a further blowup, also a wonderful model of an arrangement in ${\mathbb P}^{n-1}$. |
| title | Small resolutions of moduli spaces of scaled curves |
| topic | Algebraic Geometry Combinatorics 14N20, 14H10, 14E15, 05B35 |
| url | https://arxiv.org/abs/2208.03721 |