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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/2505.14495 |
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| _version_ | 1866910041924173824 |
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| author | Cao, Junyu Tosatti, Valentino |
| author_facet | Cao, Junyu Tosatti, Valentino |
| contents | We prove the optimal $C^{1,1}$ regularity of the volume function on the big cone of a projective manifold, and investigate its regularity when restricted to segments moving in ample directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity of the volume function Cao, Junyu Tosatti, Valentino Algebraic Geometry Complex Variables We prove the optimal $C^{1,1}$ regularity of the volume function on the big cone of a projective manifold, and investigate its regularity when restricted to segments moving in ample directions. |
| title | Regularity of the volume function |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2505.14495 |