On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911693689323520 |
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| author | Bie, Pinxian |
| author_facet | Bie, Pinxian |
| contents | We investigate the DCC property of the set of Iitaka volumes of a given set of pairs of varieties. We both generalize previous results of Birkar and Li about usual pairs to the real coefficient case, and also establish similar results on generalised pairs, where some natural boundedness assumptions are required for technical reasons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13881 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs Bie, Pinxian Algebraic Geometry 14J10 (Primary) 14J17, 14E30 (Secondary) We investigate the DCC property of the set of Iitaka volumes of a given set of pairs of varieties. We both generalize previous results of Birkar and Li about usual pairs to the real coefficient case, and also establish similar results on generalised pairs, where some natural boundedness assumptions are required for technical reasons. |
| title | On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs |
| topic | Algebraic Geometry 14J10 (Primary) 14J17, 14E30 (Secondary) |
| url | https://arxiv.org/abs/2605.13881 |