Deformation Invariance of Plurigenera
classification
🧮 math.AG
keywords
invarianceplurigeneradeformationdeformationsdoneestimatesextensionfull
read the original abstract
We prove the invariance of plurigenera under smooth projective deformations in full generality. The proof is done by several estimates of singular hermitian metrics in terms of $L^{2}$-extension theorem of holomorphic sections.
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