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arXiv · 1603.04378

Exceptional collections and the bicanonical map of Keum's fake projective planes

Gennaro Di Brino·Luca F. Di Cerbo
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Abstract

We apply the recent results of Galkin et al. [GKMS15] to study some geometrical features of Keum's fake projective planes. Among other things, we show that the bicanonical map of Keum's fake projective planes is always an embedding. Moreover, we construct a nonstandard exceptional collection on the unique fake projective plane $X$ with $H_{1}(X; \mathbb{Z})=(\mathbb{Z}/2\mathbb{Z})^{4}$.

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Gennaro Di Brino, Luca F. Di Cerbo. 2016-03-14. Exceptional collections and the bicanonical map of Keum's fake projective planes. https://arxiv.org/abs/1603.04378

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