Abstract
We show that the classical Koecher's xprinciple for holomorphic Siegel modular forms generalizes to all PEL-type cases, in mixed characteristics and for all vector-valued weights, and also generalizes to higher coherent cohomology groups of automorphic bundles of degrees strictly less than the codimensions of the boundaries of minimal compactifications minus one.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 163-199 |
| Number of pages | 37 |
| Journal | Mathematical Research Letters |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2016 |
Keywords
- Coherent cohomology of automorphic bundles
- Compactifications of Shimura varieties
- Koecher's principle