Mathematical Research Letters
Volume 23 (2016)
Higher Koecher’s principle
Pages: 163 – 199
We show that the classical Koecher’s principle 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.
Koecher’s principle, coherent cohomology of automorphic bundles, compactifications of Shimura varieties
2010 Mathematics Subject Classification
Primary 11G18. Secondary 11F30, 11F55.