Symplectic generic complex structures on 4-manifolds with b_+ = 1

Abstract

We study symplectic structures on Kähler surfaces with p_g = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any Kähler metric.

References in corpus (2)

• A simply connected surface of general type with p_g=0 and K^2=2
• Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces