Duality and polyhedrality of cones for Mori dream spaces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908477209706496 |
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| author | Brambilla, Maria Chiara Dumitrescu, Olivia Postinghel, Elisa Sánchez, Luis José Santana |
| author_facet | Brambilla, Maria Chiara Dumitrescu, Olivia Postinghel, Elisa Sánchez, Luis José Santana |
| contents | Our goal is twofold. On one hand we show that the cones of divisors ample in codimension $k$ on a Mori dream space are rational polyhedral. On the other hand we study the duality between such cones and the cones of $k$-moving curves by means of the Mori chamber decomposition of the former. We give a new proof of the weak duality property (already proved by Payne and Choi) and we exhibit an interesting family of examples for which strong duality holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18536 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Duality and polyhedrality of cones for Mori dream spaces Brambilla, Maria Chiara Dumitrescu, Olivia Postinghel, Elisa Sánchez, Luis José Santana Algebraic Geometry Primary: 14C20 Secondary: 14E05, 14E30, 14J45 Our goal is twofold. On one hand we show that the cones of divisors ample in codimension $k$ on a Mori dream space are rational polyhedral. On the other hand we study the duality between such cones and the cones of $k$-moving curves by means of the Mori chamber decomposition of the former. We give a new proof of the weak duality property (already proved by Payne and Choi) and we exhibit an interesting family of examples for which strong duality holds. |
| title | Duality and polyhedrality of cones for Mori dream spaces |
| topic | Algebraic Geometry Primary: 14C20 Secondary: 14E05, 14E30, 14J45 |
| url | https://arxiv.org/abs/2305.18536 |