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Complex structures on product of circle bundles over complex manifolds
Complex structures product of circle bundles complex manifolds
2011/1/17
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.