Ax-Schanuel for Shimura varieties
Ngaiming Mok, Jonathan Pila, and Jacob Tsimerman
TL;DR
This paper proves a significant theorem (Ax-Schanuel) for general pure Shimura varieties, advancing the understanding of their complex algebraic and transcendental structures.
Contribution
It establishes the Ax-Schanuel theorem in the context of general pure Shimura varieties, extending previous results to a broader class.
Findings
Proves the Ax-Schanuel theorem for pure Shimura varieties
Enhances understanding of algebraic and transcendental relations in Shimura varieties
Provides a foundational result for future research in arithmetic geometry
Abstract
We prove the Ax-Schanuel theorem for a general (pure) Shimura variety.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Nonlinear Waves and Solitons