Exceptional Collection of Objects on Some Fake Projective Planes

Ching Jui Lai, Sai Kee Yeung

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The purpose of this 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 nontrivial automorphism group, related to a conjecture of Galkin–Katzarkov–Mellit–Shinder in 2015. Our method shows that thirty fake projective planes support such a sequence, most of which are new. In particular, this provides many new H-phantom categories.

Original languageEnglish
Pages (from-to)17546-17590
Number of pages45
JournalInternational Mathematics Research Notices
Issue number22
Publication statusPublished - 2022 Nov 1

All Science Journal Classification (ASJC) codes

  • General Mathematics


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