Remark on a theorem of Oguiso
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914738535923712 |
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| author | Kaur, Inder Prendergast-Smith, Artie |
| author_facet | Kaur, Inder Prendergast-Smith, Artie |
| contents | For a Calabi-Yau variety X, Oguiso gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Neron--Severi space of X. In this short note, we prove a variant of Oguiso's criterion and use it to verify primitivity of a certain birational automorphism of a Calabi--Yau threefold, to which Oguiso's original criterion does not apply. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remark on a theorem of Oguiso Kaur, Inder Prendergast-Smith, Artie Algebraic Geometry For a Calabi-Yau variety X, Oguiso gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Neron--Severi space of X. In this short note, we prove a variant of Oguiso's criterion and use it to verify primitivity of a certain birational automorphism of a Calabi--Yau threefold, to which Oguiso's original criterion does not apply. |
| title | Remark on a theorem of Oguiso |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.01915 |