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

Published 16 Dec 2010 in math.SG and math.AG | (1012.3644v1)

Abstract: 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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