Hyperbolic Ax–Lindemann theorem in the cocompact case

By E. Ullmo, A. Yafaev. 2012

49 citations recorded by the source corpus.

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

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4b6c32381a7ff110cb4ffeeac5843f17b343dd31

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jacob Tsimerman
2. Jonathan Pila
3. Ziyang Gao
4. P. Habegger
5. Bruno Klingler
6. E. Ullmo
7. Fabrizio Barroero
8. Martin Widmer

In Mathematical Physics

1. Jonathan Pila
2. Jacob Tsimerman
3. Ziyang Gao
4. Bruno Klingler
5. E. Ullmo
6. Manjul Bhargava

Citations in the corpus

• Ax-Lindemann for $\mathcal{A}_g$ (2014, methodology): “This idea and its execution are due to Ullmo and Yafaev [40].”
• The hyperbolic Ax-Lindemann-Weierstraß conjecture (2015, unknown): “In [34] Ullmo and Yafaev prove Theorem 1.”