Elevators for degenerations of PEL structures

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We show that the maximal rank of mixed characteristic degenerations of abelian varieties parameterized by a PEL-type Shimura variety are the same as the maximal rank of equicharacteristic zero degenerations (of abelian varieties parameterized by the same Shimura variety). As a byproduct, we obtain a simple proof of Yasuo Morita's conjecture in 1975 that an abelian variety with additional structures parameterized by a compact PEL-type Shimura variety has potential good reductions everywhere.

Original languageEnglish (US)
Pages (from-to)889-907
Number of pages19
JournalMathematical Research Letters
Issue number5
StatePublished - Sep 2011


Dive into the research topics of 'Elevators for degenerations of PEL structures'. Together they form a unique fingerprint.

Cite this