Under a Hermitian flatness condition on the direct image of the relative log-canonical bundle, a Kähler fibration with klt log Calabi-Yau fibers is locally trivial; a K3 example shows the relative Ricci-flat metric need not be semipositive.
Singularities of Narasimhan-Simha type metrics on direc t images of rela- tive pluricanonical bundles
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Variation of singular K\"ahler-Einstein metrics: Kodaira dimension zero
Under a Hermitian flatness condition on the direct image of the relative log-canonical bundle, a Kähler fibration with klt log Calabi-Yau fibers is locally trivial; a K3 example shows the relative Ricci-flat metric need not be semipositive.