Deformation Invariance of Plurigenera

Details Deformation Invariance of Plurigenera Deformation Invariance of Plurigenera

2000-12-22

arxiv.org/abs/math/0012225v4

Mathematics

Algebraic Geometry

15pages, no figure introduction was expanded and misquoted Theorem 2.4 is corrected

Scientific paper

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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