A closure operator respecting the modular j-function

Aslanyan, Vahagn, Eterović, Sebastian and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 (2023) A closure operator respecting the modular j-function. Israel Journal of Mathematics, 253. 321–357. ISSN 0021-2172

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We prove some unconditional cases of the Existential Closedness problem for the modular j-function. For this, we show that for any finitely generated field we can find a “convenient” set of generators. This is done by showing that in any field equipped with functions replicating the algebraic behaviour of the modular j-function and its derivatives, one can define a natural closure operator in three equivalent different ways.

Item Type: Article
Additional Information: Funding information: VA and JK were supported by EPSRC grant EP/S017313/1. SE was partially supported by NSF RTG grant DMS-1646385.
Uncontrolled Keywords: mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Logic
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Depositing User: LivePure Connector
Date Deposited: 08 Jul 2021 00:06
Last Modified: 05 Oct 2023 01:38
URI: https://ueaeprints.uea.ac.uk/id/eprint/80428
DOI: 10.1007/s11856-022-2362-y


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