Symplectic generic complex structures on 4-manifolds with b_+ = 1
classification
🧮 math.SG
math.AG
keywords
symplecticstructuresadmitsahlercompatiblecomplexexamplegeneric
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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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