Mathematical Research Letters

Volume 23 (2016)

Number 1

Higher Koecher’s principle

Pages: 163 – 199



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


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.

Accepted 21 January 2015

Published 25 May 2016