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Aslanyan, Vahagn, Eterović, Sebastian and Kirby, Jonathan 
ORCID: https://orcid.org/0000-0003-4031-9107
(2021)
Differential existential closedness for the j-function.
Proceedings of the American Mathematical Society, 149 (4).
pp. 1417-1429.
ISSN 0002-9939
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Abstract
We prove the Existential Closedness conjecture for the differential equation of the j-function and its derivatives. It states that in a differentially closed field certain equations involving the differential equation of the j-function have solutions. Its consequences include a complete axiomatisation of j-reducts of differentially closed fields, a dichotomy result for strongly minimal sets in those reducts, and a functional analogue of the Modular Zilber-Pink with Derivatives conjecture.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ax-schanuel,j-function,existential closedness |
| Faculty \ School: | Faculty of Science > School of Mathematics |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 14 Sep 2020 23:52 |
| Last Modified: | 21 Apr 2023 00:46 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/76873 |
| DOI: | 10.1090/proc/15333 |
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