Exceptional collection of objects on some fake projective planes
Algebraic Geometry
2021-08-06 v1
Abstract
The purpose of the article is to explain a new method to establish the existence of an exceptional collection of length three for a fake projective plane M with non-trivial automorphism group, related to a conjecture of Galkin-Katzarkov-Mellit-Shinder in 2015. Our method shows that 30 fake projective planes support such a sequence, most of which are new. In particular, this provides many new H-phantom categories.
Keywords
Cite
@article{arxiv.2108.02412,
title = {Exceptional collection of objects on some fake projective planes},
author = {Ching-Jui Lai and Sai-Kee Yeung},
journal= {arXiv preprint arXiv:2108.02412},
year = {2021}
}
Comments
39 pages. To appear on International Mathematics Research Notices