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

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

2010-12-16

arxiv.org/abs/1012.3644v1

Mathematics

Symplectic Geometry

Scientific paper

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

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