Explicit Schoen surfaces

Abstract

We give an explicit construction for the $4$-dimensional family of Schoen surfaces by computing equations for their canonical images, which are $40$-nodal complete intersections of a quadric and the Igusa quartic in ${\mathbb{P}}^4$. We then study a particularly interesting example, with $240$ automorphisms and maximal Picard number.

Final version

References in corpus (1)

• On K3 surface quotients of K3 or Abelian surfaces

Cited by in corpus (1)

• A pair of rigid surfaces with $p_g=q=2$ and $K^2=8$ whose universal cover is not the bidisk