Boundedness of elliptic Calabi-Yau threefolds
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866918108835348480 |
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| author | Filipazzi, Stefano Hacon, Christopher D. Svaldi, Roberto |
| author_facet | Filipazzi, Stefano Hacon, Christopher D. Svaldi, Roberto |
| contents | We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_01352 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Boundedness of elliptic Calabi-Yau threefolds Filipazzi, Stefano Hacon, Christopher D. Svaldi, Roberto Algebraic Geometry High Energy Physics - Theory 14E30, 14J27, 14J32 (Primary) 14D06 (Secondary) We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family. |
| title | Boundedness of elliptic Calabi-Yau threefolds |
| topic | Algebraic Geometry High Energy Physics - Theory 14E30, 14J27, 14J32 (Primary) 14D06 (Secondary) |
| url | https://arxiv.org/abs/2112.01352 |