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Matthias Wendt
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is Is there an Oka-grauertGrauert principle for homogenous spacehomogeneous spaces?

Suppose we have a fiberationfibration over the punctured disc  (deformationi.e., a deformation of complex manifolds)each such that each fiber is a Homogenoushomogeneous space, is. Is the total space is a product of a fiber with the punctured disc? What about the case where the fiber is fanoFano?

is there Oka-grauert principle for homogenous space

Suppose we have a fiberation over punctured disc(deformation of complex manifolds)each fiber is a Homogenous space, is the total space is a product of a fiber with punctured disc? What about fiber is fano?

Is there an Oka-Grauert principle for homogeneous spaces?

Suppose we have a fibration over the punctured disc  (i.e., a deformation of complex manifolds) such that each fiber is a homogeneous space. Is the total space a product of a fiber with the punctured disc? What about the case where the fiber is Fano?

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user42804
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is there Oka-grauert principle for homogenous space

Suppose we have a fiberation over punctured disc(deformation of complex manifolds)each fiber is a Homogenous space, is the total space is a product of a fiber with punctured disc? What about fiber is fano?