Algebraic types in Zilber's exponential field

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Aslanyan, Vahagn and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 (2024) Algebraic types in Zilber's exponential field. Model Theory. ISSN 2832-904X (In Press)

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Abstract

We characterise the model-theoretic algebraic closure in Zilber's exponential field. A key step involves showing that certain algebraic varieties have finite intersections with certain finite-rank subgroups of the graph of exponentiation. Mordell-Lang for algebraic tori (a theorem of Laurent) plays a central role in our proof.

Item Type:	Article
Uncontrolled Keywords:	math.lo,math.nt,03c60 (primary), 03c65, 12l12
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024) Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) Faculty of Science > Research Groups > Logic (former - to 2024)
Related URLs:	http://arxiv.org/pdf/2405.01399v2
Depositing User:	LivePure Connector
Date Deposited:	27 Nov 2024 10:47
Last Modified:	27 Nov 2024 10:47
URI:	https://ueaeprints.uea.ac.uk/id/eprint/97783
DOI:	issn:2832-904X

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