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.
Original language | English (US) |
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Pages (from-to) | 885-966 |
Number of pages | 82 |
Journal | Algebra and Number Theory |
Volume | 6 |
Issue number | 5 |
DOIs | |
State | Published - 2012 |
Keywords
- Degenerations and toroidal compactifications
- Kuga families
- PEL-type Shimura varieties