An explicit class of Lagrangian surfaces

Abstract

We construct a family of general type surfaces with $q=4$, $p_g=6$ and $K^2=24$. These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and their canonical map is $2:1$ onto a degree $12$ surface in ${\mathbb{P}}^5$ with $44$ even nodes.

Published version. 22 pages, 3 figures. Comments welcome