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Galois conjugates of special points and special subvarieties in Shimura varieties
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Orr, Martin (2021) Galois conjugates of special points and special subvarieties in Shimura varieties. Journal of the Institute of Mathematics of Jussieu . doi:10.1017/S1474748019000525 ISSN 1474-7480.
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Official URL: https://doi.org/10.1017/S1474748019000525
Abstract
Let be a Shimura variety with reflex field . We prove that the action of on maps special points to special points and special subvarieties to special subvarieties. Furthermore, the Galois conjugates of a special point all have the same complexity (as defined in the theory of unlikely intersections). These results follow from Milne and Shih’s construction of canonical models of Shimura varieties, based on a conjecture of Langlands which was proved by Borovoi and Milne.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Shimura varieties, Galois theory , Arithmetical algebraic geometry | ||||||||
| Journal or Publication Title: | Journal of the Institute of Mathematics of Jussieu | ||||||||
| Publisher: | Cambridge University Press | ||||||||
| ISSN: | 1474-7480 | ||||||||
| Official Date: | 2021 | ||||||||
| Dates: |
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| DOI: | 10.1017/S1474748019000525 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Journal of the Institute of Mathematics of Jussieu. http://doi.org/10.1017/S14747480190005 This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Copyright Holders: | Cambridge University Press | ||||||||
| Date of first compliant deposit: | 14 October 2019 | ||||||||
| Date of first compliant Open Access: | 30 April 2020 | ||||||||
| Related URLs: | |||||||||
| Open Access Version: |
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