Canonical singular hermitian metrics on relative logcanonical bundles

Details Canonical singular hermitian metrics on relative logcanonical bundles Canonical singular hermitian metrics on relative logcanonical bundles

2010-08-09

arxiv.org/abs/1008.1466v2

Mathematics

Algebraic Geometry

49pages, no figure, expanded version (add references and improved results)

Scientific paper

This supersedes 0704.0566. We prove the invariance of logarithmic plurigenera
for a projective family of KLT pairs and the adjoint line bundle of KLT line
bundles. The proof uses the canonical singular hermitian metrics on relative
logcanonical bundles.

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