Abstract
We explain how compactifications of Kuga families of abelian varieties over PEL-type Shimura varieties, including for example all those products of universal abelian schemes, can be constructed (up to good isogenies not affecting the relative cohomology) by a uniform method. We also calculate the relative cohomology and explain its various properties crucial for applications to the cohomology of automorphic bundles.
Citation
Kai-Wen Lan. "Toroidal compactifications of PEL-type Kuga families." Algebra Number Theory 6 (5) 885 - 966, 2012. https://doi.org/10.2140/ant.2012.6.885
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