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arXiv · 2108.02412

Exceptional collection of objects on some fake projective planes

Ching-Jui Lai·Sai-Kee Yeung
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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.

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Ching-Jui Lai, Sai-Kee Yeung. 2021-08-05. Exceptional collection of objects on some fake projective planes. https://arxiv.org/abs/2108.02412

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