Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909278433968128 |
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| author | Zhong, Guolei |
| author_facet | Zhong, Guolei |
| contents | Let $X$ be a $\mathbb{Q}$-factorial compact Kähler klt threefold admitting an action of a free abelian group $G$, which is of positive entropy and of maximal rank. After running the $G$-equivariant log minimal model program, we show that such $X$ is either rationally connected or bimeromorphic to a $Q$-complex torus. In particular, we fix an issue in the proof of our previous paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_07243 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank Zhong, Guolei Algebraic Geometry Dynamical Systems 14E30, 14J30, 14J50 Let $X$ be a $\mathbb{Q}$-factorial compact Kähler klt threefold admitting an action of a free abelian group $G$, which is of positive entropy and of maximal rank. After running the $G$-equivariant log minimal model program, we show that such $X$ is either rationally connected or bimeromorphic to a $Q$-complex torus. In particular, we fix an issue in the proof of our previous paper. |
| title | Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank |
| topic | Algebraic Geometry Dynamical Systems 14E30, 14J30, 14J50 |
| url | https://arxiv.org/abs/2203.07243 |