On non-projective complete toric varieties
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909685510045696 |
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| author | Fujino, Osamu Sato, Hiroshi |
| author_facet | Fujino, Osamu Sato, Hiroshi |
| contents | For every complete toric variety, there exists a projective toric variety which is isomorphic to it in codimension one. In this paper, we show that every smooth non-projective complete toric threefold of Picard number at most five becomes projective after a finite succession of flops or anti-flips. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On non-projective complete toric varieties Fujino, Osamu Sato, Hiroshi Algebraic Geometry Primary 14M25, Secondary 14E30 For every complete toric variety, there exists a projective toric variety which is isomorphic to it in codimension one. In this paper, we show that every smooth non-projective complete toric threefold of Picard number at most five becomes projective after a finite succession of flops or anti-flips. |
| title | On non-projective complete toric varieties |
| topic | Algebraic Geometry Primary 14M25, Secondary 14E30 |
| url | https://arxiv.org/abs/2412.02392 |