Twisted Fourier-Mukai partners of Enriques surfaces
Algebraic Geometry
2021-03-16 v2
Abstract
Bridgeland and Maciocia showed that a complex Enriques surface X has no Fourier-Mukai partners apart from itself: that is, if D^b(X) = D^b(Y) then X = Y. We extend this to twisted Fourier-Mukai partners: if alpha is the non-trivial element of Br(X) = Z/2 and D^b(X,alpha) = D^b(Y,beta), then X = Y and beta is non-trivial. Our main tools are twisted topological K-theory and twisted Mukai lattices.
Keywords
Cite
@article{arxiv.1803.03250,
title = {Twisted Fourier-Mukai partners of Enriques surfaces},
author = {Nicolas Addington and Andrew Wray},
journal= {arXiv preprint arXiv:1803.03250},
year = {2021}
}
Comments
9 pages. Minor changes, to appear in Math Z