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On the existence of stable compact leaves for transversely holomorphic foliations
Holomorphic foliation holonomy stable leaf
2012/4/17
A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the manifold.
Abelian fibred holomorphic symplectic manifolds
holomorphic symplectic manifold abelian varieties elliptic fibration
2010/3/1
We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomor...