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On the stability of locally conformal Kaehler structures
locally conformally K¨ahler metrics non-K¨ahler surfaces deformation theory
2011/1/20
In this article we develop a new approach to the problem of the stability of locally conformally K¨ahler structures (l.c.k structures) under small deformations of complex structures and deformations o...
Degeneration of Kaehler structures and half-form quantization of toric varieties
Kaehler structures half-form quantization
2010/11/19
We study the half-form Kaehler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[\omega/2\pi]-c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}})$ and is nonnegative. We define the half-f...