Elliptic and K3 fibrations on double octic Calabi-Yau threefolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915243548999680 |
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| author | Cynk, Sławomir Kocel-Cynk, Beata |
| author_facet | Cynk, Sławomir Kocel-Cynk, Beata |
| contents | We study fibrations by elliptic curves and K3 surfaces of double octic Calabi-Yau threefolds determined by singular lines and points of multiplicity at least 4 of the defining octic arrangement. As a consequence we conclude that every double octic admits many elliptic and K3 fibrations. We apply descriptions of some K3 fibrations to construct a birational map between elements of two families of double octics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10759 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elliptic and K3 fibrations on double octic Calabi-Yau threefolds Cynk, Sławomir Kocel-Cynk, Beata Algebraic Geometry We study fibrations by elliptic curves and K3 surfaces of double octic Calabi-Yau threefolds determined by singular lines and points of multiplicity at least 4 of the defining octic arrangement. As a consequence we conclude that every double octic admits many elliptic and K3 fibrations. We apply descriptions of some K3 fibrations to construct a birational map between elements of two families of double octics. |
| title | Elliptic and K3 fibrations on double octic Calabi-Yau threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.10759 |