Explicit Kodaira-Spencer morphisms are built between canonical line bundles on PEL Shimura varieties, relating their metrics and height functions.
Arithmetic volumes of unitary Shimura varieties, arXiv preprint arXiv: 2105.11274
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Explicit Kodaira-Spencer maps over PEL Shimura varieties
Explicit Kodaira-Spencer morphisms are built between canonical line bundles on PEL Shimura varieties, relating their metrics and height functions.