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Cox rings of rational surfaces and redundant blow-ups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hwang, Dongseon Park, Jinhyung |
| Copyright Year | 2013 |
| Abstract | We prove that the redundant blow-up preserves the finite generation of the Cox ring of a rational surface under a suitable assumption, and we study the birational structure of Mori dream rational surfaces via redundant blow-ups. It turns out that the redundant blow-up completely characterizes birational morphisms of Mori dream rational surfaces with anticanonical Iitaka dimension $0$. As an application, we construct new Mori dream rational surfaces with anticanonical Iitaka dimension $0$ and $-\infty$ of arbitrarily large Picard number. |
| Starting Page | 7727 |
| Ending Page | 7743 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/tran/6611 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1303.2274v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/tran%2F6611 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
