Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic Geometry
2010-12-17 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1012.3644,
title = {Symplectic generic complex structures on 4-manifolds with b_+ = 1},
author = {Paolo Cascini and Dmitri Panov},
journal= {arXiv preprint arXiv:1012.3644},
year = {2010}
}