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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/1612.09208 |
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| _version_ | 1866910771540131840 |
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| author | Chou, Jed Hering, Milena Payne, Sam Tramel, Rebecca Whitney, Ben |
| author_facet | Chou, Jed Hering, Milena Payne, Sam Tramel, Rebecca Whitney, Ben |
| contents | We use a polyhedral criterion for the existence of diagonal splittings to investigate which toric varieties X are diagonally split. Our results are stated in terms of the vector configuration given by primitive generators of the 1-dimensional cones in the fan defining X. We show, in particular, that X is diagonally split at all q if and only if this configuration is unimodular, and X is not diagonally split at any q if this configuration is not 2-regular. We also study implications for the possibilities for the set of q at which a toric variety X is diagonally split. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1612_09208 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Diagonal splittings of toric varieties and unimodularity Chou, Jed Hering, Milena Payne, Sam Tramel, Rebecca Whitney, Ben Algebraic Geometry Combinatorics We use a polyhedral criterion for the existence of diagonal splittings to investigate which toric varieties X are diagonally split. Our results are stated in terms of the vector configuration given by primitive generators of the 1-dimensional cones in the fan defining X. We show, in particular, that X is diagonally split at all q if and only if this configuration is unimodular, and X is not diagonally split at any q if this configuration is not 2-regular. We also study implications for the possibilities for the set of q at which a toric variety X is diagonally split. |
| title | Diagonal splittings of toric varieties and unimodularity |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/1612.09208 |