Totaro--Vial lemma in F-theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913340392996864 |
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| author | Morimura, Hayato |
| author_facet | Morimura, Hayato |
| contents | For each pair of elliptic Calabi--Yau $3$-folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Except one self-dual pair, each yields two families of smooth elliptic fibrations over a common base whose general fibers are nonbirational derived-equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_12751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Totaro--Vial lemma in F-theory Morimura, Hayato Algebraic Geometry 14J32 For each pair of elliptic Calabi--Yau $3$-folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Except one self-dual pair, each yields two families of smooth elliptic fibrations over a common base whose general fibers are nonbirational derived-equivalent. |
| title | Totaro--Vial lemma in F-theory |
| topic | Algebraic Geometry 14J32 |
| url | https://arxiv.org/abs/2301.12751 |