Spaces of multiscaled lines with collision
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910381453082624 |
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| author | Robotis, Antonios-Alexandros |
| author_facet | Robotis, Antonios-Alexandros |
| contents | We study varieties $\mathcal{A}_n$ arising as equivariant compactifications of the space of $n$ points in $\mathbb{C}$ up to overall translation. We define $\mathcal{A}_n$ and examine its basic geometric properties before constructing an isomorphism to an augmented wonderful variety. We show that $\mathcal{A}_n$ is in a canonical way a resolution of the space $\overline{P}_n$ considered by Zahariuc, proving along the way that the resolution constructed by Zahariuc is equivalent to ours. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spaces of multiscaled lines with collision Robotis, Antonios-Alexandros Algebraic Geometry 14H10 (Primary) 32G13 (Secondary) We study varieties $\mathcal{A}_n$ arising as equivariant compactifications of the space of $n$ points in $\mathbb{C}$ up to overall translation. We define $\mathcal{A}_n$ and examine its basic geometric properties before constructing an isomorphism to an augmented wonderful variety. We show that $\mathcal{A}_n$ is in a canonical way a resolution of the space $\overline{P}_n$ considered by Zahariuc, proving along the way that the resolution constructed by Zahariuc is equivalent to ours. |
| title | Spaces of multiscaled lines with collision |
| topic | Algebraic Geometry 14H10 (Primary) 32G13 (Secondary) |
| url | https://arxiv.org/abs/2403.16357 |