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arXiv · 2307.04281

Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields

Hokuto Uehara·Tomonobu Watanabe
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Abstract

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.

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Hokuto Uehara, Tomonobu Watanabe. 2023-07-09. Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields. https://arxiv.org/abs/2307.04281

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