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Canonical singular hermitian metrics on relative canonical bundles
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 6, December 2011
- pp. 1469-1501
- 10.1353/ajm.2011.0047
- Article
- Additional Information
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Abstract
We introduce a new class of canonical analytic Zariski decompositions (AZD's in short) called the
supercanonical AZD's on the canonical bundles of smooth projective varieties with pseudoeffective
canonical classes.\ We study the variation of the supercanonical AZD $\hat{h}_{{\rm can}}$ under
projective deformations and give a new proof of the invariance of plurigenera.
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