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arXiv · 1903.03017

Surfaces with canonical map of maximum degree

Carlos Rito
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Abstract

We use the Borisov-Keum equations of a fake projective plane and the Borisov-Yeung equations of the Cartwright-Steger surface to show the existence of a regular surface with canonical map of degree 36 and of an irregular surface with canonical map of degree 27. As a by-product, we get equations (over a finite field) for the $\mathbb Z/3$-invariant fibres of the Albanese fibration of the Cartwright-Steger surface and show that they are smooth.

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Carlos Rito. 2019-03-07. Surfaces with canonical map of maximum degree. https://arxiv.org/abs/1903.03017

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