Exceptional collections on 2-adically uniformised fake projective planes
Algebraic Geometry
2014-05-16 v3
Abstract
We show that there exist exceptional collections of length 3 consisting of line bundles on the three fake projective planes that have a 2-adic uniformisation with torsion free covering group. We also compute the Hochschild cohomology of the right orthogonal of the subcategory of the bounded derived category of coherent sheaves generated by these exceptional collections.
Cite
@article{arxiv.1310.3020,
title = {Exceptional collections on 2-adically uniformised fake projective planes},
author = {Najmuddin Fakhruddin},
journal= {arXiv preprint arXiv:1310.3020},
year = {2014}
}
Comments
Some details added to the proof of Proposition 3.1 based on referee's comments. Final version, to appear in MRL