Divisors on surfaces isogenous to a product of mixed type with $p_g=0$

Abstract

In this paper, we study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with $p_g=0$. In particular, we prove that all reducible fake quadrics are Mori dream surfaces.

10 pages; v2: Minor changes, final version to appear on Pacific Journal of Mathematics

References in corpus (3)

• On Cox rings of K3-surfaces
• Addendum to `Fake Projective Planes'
• The classification of surfaces with p_g=q=1 isogenous to a product of curves