Liftability of mod p cusp forms of parallel weights

Kai Wen Lan, Junecue Suh

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We present a vanishing theorem for automorphic line bundles on good reduction fibers of PEL-type Shimura varieties (including all noncompact ones). As a consequence, we deduce that for a good prime p no smaller than the dimension of a PEL-type Shimura variety, any mod p cusp form of positive cohomological parallel weight is liftable to characteristic zero.

Original languageEnglish (US)
Pages (from-to)1870-1879
Number of pages10
JournalInternational Mathematics Research Notices
Volume2011
Issue number8
DOIs
StatePublished - May 2 2011

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