Algebra & Number Theory
- Algebra Number Theory
- Volume 8, Number 8 (2014), 1787-1799.
Relative cohomology of cuspidal forms on PEL-type Shimura varieties
We present a short proof that, for PEL-type Shimura varieties, subcanonical extensions of automorphic bundles, whose global sections over toroidal compactifications of Shimura varieties are represented by cuspidal automorphic forms, have no higher direct images under the canonical morphism to the minimal compactification, in characteristic zero or in positive characteristics greater than an explicitly computable bound.
Algebra Number Theory, Volume 8, Number 8 (2014), 1787-1799.
Received: 23 August 2013
Revised: 3 August 2014
Accepted: 8 October 2014
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14G35: Modular and Shimura varieties [See also 11F41, 11F46, 11G18]
Secondary: 14K10: Algebraic moduli, classification [See also 11G15] 14G17: Positive characteristic ground fields 32L20: Vanishing theorems
Lan, Kai-Wen; Stroh, Benoît. Relative cohomology of cuspidal forms on PEL-type Shimura varieties. Algebra Number Theory 8 (2014), no. 8, 1787--1799. doi:10.2140/ant.2014.8.1787. https://projecteuclid.org/euclid.ant/1513730283