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

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.

arXiv commentLots of improvements due to referee's comments. To appear in Osaka Journal of Mathematics