Fourier-Mukai partners of abelian varieties
Algebraic Geometry
2019-08-13 v2
Abstract
We will discuss the Fourier-Mukai partners of a given abelian variety. The first part of the note is to give some basic theory of Fourier-Mukai partners and semi-homogenous vector bundles, then we will discuss the case when the kernel of an equivalence is given by a semi-homogenous vector bundle. In particular, given an abelian variety B, and a simple semi-homogenous vector bundle E on B, we will discuss for which E, it can be the image of the structure sheaf of the unit on A under some triangulated equivalence, where A is some abelian variety.
Keywords
Cite
@article{arxiv.1908.03308,
title = {Fourier-Mukai partners of abelian varieties},
author = {Anningzhe Gao},
journal= {arXiv preprint arXiv:1908.03308},
year = {2019}
}
Comments
Correct some typos. Actually ampleness in the last part is unnecessary, but we still assume it for safety