Canonical singular hermitian metrics on relative logcanonical bundles

Published 9 Aug 2010 in math.AG and math.CV | (1008.1466v2)

Abstract: 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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Hajime Tsuji

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