Ax-Schanuel for Shimura varieties

By N. Mok, Jonathan Pila, Jacob Tsimerman. Annals of Mathematics, 2017

54 citations recorded by the source corpus.

We prove the Ax-Schanuel theorem for a general (pure) Shimura variety.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1b9a16ad447b4cd27870e73e013874bec8c4be4d

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. Benjamin Bakker
3. Bruno Klingler
4. Jonathan Pila

In Mathematical Physics

1. Jacob Tsimerman
2. Benjamin Bakker
3. Bruno Klingler
4. Jonathan Pila
5. Manjul Bhargava

Citations in the corpus

• The Ax–Schanuel conjecture for variations of Hodge structures (2017, background): “) +O(1) and since d 0(γx 0) ≤ d(γx,γx 0)+d(γx,x 0) ≤ d 0(x) +d 0(γx) we are finished by part (1) of Lemma 4.3. 5. The proofof Theorem1.1 The remainder of the proof follows the same general strategy as [MPT17]. There are sufficiently many differences, however, that we include the necessary modifications. ”
• Tame topology of arithmetic quotients and algebraicity of Hodge loci (2018, unknown): “4.4 and Corollary 4.5] (see also [MPT17, Theor.”