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arXiv · 1012.3644

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

Paolo Cascini·Dmitri Panov
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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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Paolo Cascini, Dmitri Panov. 2010-12-16. Symplectic generic complex structures on 4-manifolds with b_+ = 1. https://arxiv.org/abs/1012.3644

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