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

Author:

Hokuto Uehara, Tomonobu Watanabe

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-07-08 16:00:00

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.

PDF: Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields.pdf