%0 Journal Article %T Hyperbolic Ax-Lindemann theorem in the cocompact case %A Emmanuel Ullmo %A Andrei Yafaev %J Mathematics %D 2012 %I arXiv %R 10.1215/00127094-2410546 %X We prove an analogue of the classical Ax-Lindemann theorem in the context of compact Shimura varieties. Our work is motivated by J. Pila's strategy for proving the Andr\'e-Oort conjecture unconditionally %U http://arxiv.org/abs/1209.0939v2