Journal article
Ax-Schanuel for Shimura varieties
- Abstract:
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We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. A basic version of the theorem concerns the transcendence of the uniformization map from a bounded Hermitian symmetric space to a Shimura variety. We then prove a version of the theorem with derivatives in the setting of jet spaces, and finally a version in the setting of differential fields. Our method of proof builds on previous work, combined with a new approach which uses higher-order contact conditions to place variet...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 405.7KB)
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- Publisher copy:
- 10.4007/annals.2019.189.3.7
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Authors
Funding
Bibliographic Details
- Publisher:
- Princeton University, Department of Mathematics Publisher's website
- Journal:
- Annals of Mathematics Journal website
- Volume:
- 189
- Issue:
- 3
- Pages:
- 945-978
- Publication date:
- 2019-05-14
- Acceptance date:
- 2019-02-20
- DOI:
- ISSN:
-
1939-8980
- Source identifiers:
-
976078
Item Description
- Keywords:
- Pubs id:
-
pubs:976078
- UUID:
-
uuid:629e5fc4-bb28-4cac-aad8-de9994523094
- Local pid:
- pubs:976078
- Deposit date:
- 2019-02-24
Terms of use
- Copyright holder:
- Department of Mathematics, Princeton University
- Copyright date:
- 2019
- Notes:
- © 2019 Department of Mathematics, Princeton University. This is the accepted manuscript version of the article. The final version is available online from Mathematics Department, Princeton University at: 10.4007/annals.2019.189.3.7
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