A note on orbifold regularity of canonical metrics
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908532195983360 |
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| author | Guenancia, Henri Pan, Chung-Ming Păun, Mihai |
| author_facet | Guenancia, Henri Pan, Chung-Ming Păun, Mihai |
| contents | In this short note, we prove that on a compact Kähler variety $X$ with log terminal singularities and $c_1(X)=0$, any singular Ricci-flat Kähler metric has orbifold singularities in restriction to the orbifold locus of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on orbifold regularity of canonical metrics Guenancia, Henri Pan, Chung-Ming Păun, Mihai Differential Geometry Complex Variables In this short note, we prove that on a compact Kähler variety $X$ with log terminal singularities and $c_1(X)=0$, any singular Ricci-flat Kähler metric has orbifold singularities in restriction to the orbifold locus of $X$. |
| title | A note on orbifold regularity of canonical metrics |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2509.09259 |