Exceptional Collection of Objects on Some Fake Projective Planes

Ching Jui Lai, Sai Kee Yeung

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)17546-17590
頁數45
期刊International Mathematics Research Notices
2022
發行號22
DOIs
出版狀態Published - 2022 11月 1

All Science Journal Classification (ASJC) codes

  • 一般數學

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