Mathematical Research Letters

Volume 23 (2016)

Number 1

Higher Koecher’s principle

Pages: 163 – 199

DOI: http://dx.doi.org/10.4310/MRL.2016.v23.n1.a9

Author

Kai-Wen Lan (School of Mathematics, University of Minnesota, Minneapolis, Minn., U.S.A.)

Abstract

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.

Keywords

Koecher’s principle, coherent cohomology of automorphic bundles, compactifications of Shimura varieties

2010 Mathematics Subject Classification

Primary 11G18. Secondary 11F30, 11F55.

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