Algebraic surfaces with canonical map of degree 13 15 17 18 21 22

Nguyen Bin

Published 2022-07-27Version 1

In this note, we construct some minimal smooth surfaces of general type with canonical map of degree $ 13, 15, 17, 18, 21, 22 $. These surfaces are constructed as $ \mathbb{Z}_{3}^2$-covers of a blow-up of $ \mathbb{P}^1 \times \mathbb{P}^1 $.