Notes on rational chain connectedness
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908867829432320 |
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| author | Fujino, Osamu |
| author_facet | Fujino, Osamu |
| contents | We extend Hacon--M\textsuperscript{c}Kernan's rational chain connectedness theorem to the complex analytic setting. As a consequence, we prove that the fibers of any resolution of singularities of complex analytic kawamata log terminal singularities are rationally chain connected. In contrast to the original approach, we avoid the use of extension theorems and instead rely on the minimal model program. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19415 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on rational chain connectedness Fujino, Osamu Algebraic Geometry Primary 14E30, Secondary 14J17, 32S05 We extend Hacon--M\textsuperscript{c}Kernan's rational chain connectedness theorem to the complex analytic setting. As a consequence, we prove that the fibers of any resolution of singularities of complex analytic kawamata log terminal singularities are rationally chain connected. In contrast to the original approach, we avoid the use of extension theorems and instead rely on the minimal model program. |
| title | Notes on rational chain connectedness |
| topic | Algebraic Geometry Primary 14E30, Secondary 14J17, 32S05 |
| url | https://arxiv.org/abs/2602.19415 |