On the Morrison-Kawamata dream space and its applications
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917116230238208 |
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| author | Choi, Sung Rak Li, Xingying Li, Zhan Zhou, Chuyu |
| author_facet | Choi, Sung Rak Li, Xingying Li, Zhan Zhou, Chuyu |
| contents | We develop the theory of Morrison-Kawamata dream spaces, which axiomatizes varieties (not necessarily of Calabi-Yau type) that satisfy the Morrison-Kawamata cone conjecture. Using this theory, we establish the generic deformation invariance of various cones and apply it to the boundedness problem of algebraic varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01516 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Morrison-Kawamata dream space and its applications Choi, Sung Rak Li, Xingying Li, Zhan Zhou, Chuyu Algebraic Geometry We develop the theory of Morrison-Kawamata dream spaces, which axiomatizes varieties (not necessarily of Calabi-Yau type) that satisfy the Morrison-Kawamata cone conjecture. Using this theory, we establish the generic deformation invariance of various cones and apply it to the boundedness problem of algebraic varieties. |
| title | On the Morrison-Kawamata dream space and its applications |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.01516 |