Autoequivalences of Derived Categories of Bielliptic Surfaces
Algebraic Geometry
2026-04-01 v1
Abstract
We determine the generators of the autoequivalence group of the derived category of coherent sheaves on a bielliptic surface over an algebraically closed field of arbitrary characteristic. As a consequence, we prove that any algebraic variety derived equivalent to such a surface is isomorphic to the surface itself.
Cite
@article{arxiv.2603.29471,
title = {Autoequivalences of Derived Categories of Bielliptic Surfaces},
author = {Yuki Tochitani},
journal= {arXiv preprint arXiv:2603.29471},
year = {2026}
}