Higher Koecher's principle

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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 languageEnglish (US)
Pages (from-to)163-199
Number of pages37
JournalMathematical Research Letters
Issue number1
StatePublished - 2016


  • Coherent cohomology of automorphic bundles
  • Compactifications of Shimura varieties
  • Koecher's principle


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