Scalar-flat Kähler surfaces whose Weyl tensor annihilates the Ricci form

Andrzej Derdzinski, Sinhwi Kim, JeongHyeong Park

We conjecture that any scalar-flat Kähler surface in which the Weyl tensor acting on 2-forms annihilates the Ricci form must be either Ricci-flat or locally isometric to a Riemann…