Flips and Flops Constructed by GIT Quotient
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909425096196096 |
|---|---|
| author | Chang, Hung-Pin |
| author_facet | Chang, Hung-Pin |
| contents | Brown constructed a series of threefold flips given by the GIT quotient of a hypersurface in $\mathbb{C}^5$. In this article, we classify threefold flips and flops which are the GIT quotients of complete intersections in $\mathbb{C}^6$. We also show that there are no more new examples as GIT quotients of complete intersections in $\mathbb{C}^n$ with $n\geq7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flips and Flops Constructed by GIT Quotient Chang, Hung-Pin Algebraic Geometry 14E30 Brown constructed a series of threefold flips given by the GIT quotient of a hypersurface in $\mathbb{C}^5$. In this article, we classify threefold flips and flops which are the GIT quotients of complete intersections in $\mathbb{C}^6$. We also show that there are no more new examples as GIT quotients of complete intersections in $\mathbb{C}^n$ with $n\geq7$. |
| title | Flips and Flops Constructed by GIT Quotient |
| topic | Algebraic Geometry 14E30 |
| url | https://arxiv.org/abs/2410.16113 |