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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.02212 |
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| _version_ | 1866912801203683328 |
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| author | Fu, Xin Han, Jiyuan Zou, Yongpan |
| author_facet | Fu, Xin Han, Jiyuan Zou, Yongpan |
| contents | In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical divisor, we prove that the current induced by variation of Kahler Einsteins with mixed cone and Poincare singularities is positive, hence generalize the result of Schumacher in the smooth case [22] and the result of Guenancia in the conic case [14]. As application, we prove the surjectivity of Albanese map for a smooth log canonical pair with -(KX + Delta) being nef. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variation of Kahler-Einstein metrics with mixed singularities Fu, Xin Han, Jiyuan Zou, Yongpan Differential Geometry In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical divisor, we prove that the current induced by variation of Kahler Einsteins with mixed cone and Poincare singularities is positive, hence generalize the result of Schumacher in the smooth case [22] and the result of Guenancia in the conic case [14]. As application, we prove the surjectivity of Albanese map for a smooth log canonical pair with -(KX + Delta) being nef. |
| title | Variation of Kahler-Einstein metrics with mixed singularities |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2508.02212 |