Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909149647863808 |
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| author | Uehara, Hokuto Watanabe, Tomonobu |
| author_facet | Uehara, Hokuto Watanabe, Tomonobu |
| contents | The first author explicitly describes the set of Fourier--Mukai partners of elliptic ruled surfaces over the complex number field in \cite{Ue17}. In this article, we generalize it over arbitrary characteristic fields. We also obtain a partial evidence of the Popa--Schnell conjecture in the proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04281 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields Uehara, Hokuto Watanabe, Tomonobu Algebraic Geometry 14J27, 14F08, 14G17 The first author explicitly describes the set of Fourier--Mukai partners of elliptic ruled surfaces over the complex number field in \cite{Ue17}. In this article, we generalize it over arbitrary characteristic fields. We also obtain a partial evidence of the Popa--Schnell conjecture in the proof. |
| title | Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields |
| topic | Algebraic Geometry 14J27, 14F08, 14G17 |
| url | https://arxiv.org/abs/2307.04281 |