Pointwise isomorphic smooth families of projective non-uniruled manifolds over a Riemann surface are locally isomorphic over a dense open subset of the base.
The limits of Kahler manifolds under holomorphic deformations
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
With some mild assumptions on metric and topology of the central fiber, we prove that the limit of Kahler manifolds under holomorphic deformation is still Kahler.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Local triviality at one point in a family of non-uniruled compact Kahler manifolds implies all fibers are mutually isomorphic.
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Local isomorphisms for families of projective non-unruled manifolds
Pointwise isomorphic smooth families of projective non-uniruled manifolds over a Riemann surface are locally isomorphic over a dense open subset of the base.
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Locally rigid implies globally rigid in Kahler geometry
Local triviality at one point in a family of non-uniruled compact Kahler manifolds implies all fibers are mutually isomorphic.