Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields
Algebraic Geometry
2024-03-27 v2
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.
Keywords
Cite
@article{arxiv.2307.04281,
title = {Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields},
author = {Hokuto Uehara and Tomonobu Watanabe},
journal= {arXiv preprint arXiv:2307.04281},
year = {2024}
}
Comments
Lots of improvements due to referee's comments. To appear in Osaka Journal of Mathematics