An example of Fourier--Mukai partners of minimal elliptic surfaces
Algebraic Geometry
2007-05-23 v2
Abstract
Let and be smooth projective varieties over . We say that and are \emph{D-equivalent} (or, is a \emph{Fourier--Mukai partner} of ) if their derived categories of bounded complexes of coherent sheaves are equivalent as triangulated categories. The aim of this short note is to find an example of mutually D-equivalent but not isomorphic relatively minimal elliptic surfaces.
Keywords
Cite
@article{arxiv.math/0312499,
title = {An example of Fourier--Mukai partners of minimal elliptic surfaces},
author = {Hokuto Uehara},
journal= {arXiv preprint arXiv:math/0312499},
year = {2007}
}