Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1787-1799 |
| Number of pages | 13 |
| Journal | Algebra and Number Theory |
| Volume | 8 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2014 |
Bibliographical note
Publisher Copyright:© 2014 Mathematical Sciences Publishers.
Keywords
- Cuspidal forms
- Minimal compactification
- Shimura varieties
- Toroidal compactification
- Vanishing theorem