Quasiminimality of complex powers

Gallinaro, Francesco and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 (2024) Quasiminimality of complex powers. Forum of Mathematics, Sigma, 12. ISSN 2050-5094

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Abstract

The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal.

Item Type:	Article
Additional Information:	Funding information: Both authors were supported by EPSRC grant EP/S017313/1. The first author was partially supported by a London Mathematical Society Early Career Fellowship and by the program GeoMod ANR-19-CE40-0022-01 (ANR-DFG).
Uncontrolled Keywords:	math.lo
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://arxiv.org/pdf/2304.06450v2
Depositing User:	LivePure Connector
Date Deposited:	25 Jun 2024 13:30
Last Modified:	10 Jan 2025 00:59
URI:	https://ueaeprints.uea.ac.uk/id/eprint/95676
DOI:	10.1017/fms.2024.82

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