Powered by OpenAIRE graph
Found an issue? Give us feedback
downloadFull-Text
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ University of East A...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
University of East Anglia digital repository
Article . 2025 . Peer-reviewed
Full-Text: https://ueaeprints.uea.ac.uk/id/eprint/97783/1/2405.01399v2.pdf
Data sources: University of East Anglia digital repository
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Model Theory
Article . 2025
License: CC BY
Data sources: Pure University of Manchester
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2025
Data sources: zbMATH Open
Model Theory
Article . 2025 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY
Data sources: Datacite
University of East Anglia: UEA Digital Repository
Article . 2025
Data sources: Bielefeld Academic Search Engine (BASE)
 View all 7 versions
Claim

Algebraic types in Zilber’s exponential field

Algebraic types in Zilber's exponential field
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 Jan 2025Embargo end date: 01 Jan 2024 United Kingdom English Publisher:Mathematical Sciences PublishersJournal:Model Theory, volume 4, pages 37-54 (issn: 2832-904X, eissn: 2832-9058, Copyright policy )Funded by:UKRI | Model theory, Diophantine..., UKRI | Exponentially Algebraical...
Authors: Aslanyan, Vahagn; Kirby, Jonathan;

doi: 10.2140/mt.2025.4.37 , 10.48550/arxiv.2405.01399

arXiv: 2405.01399

Algebraic types in Zilber’s exponential field

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.

Minor revisions

Country
United Kingdom
Related Organizations
Keywords

Mathematics - Number Theory, Exponential field, Model-theoretic algebra, Zilber’s pseudoexponential field, Mathematics - Logic, Models of other mathematical theories, exponential field, 510, Zilber's pseudoexponential field, 03C60 (primary), 03C65, 12L12, FOS: Mathematics, algebraic closure, Number Theory (math.NT), Logic (math.LO), Model theory of fields

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
hybrid
Related to Research communities
Aurora Universities Network