An Analytic Zariski Structure Over a Field

NJ Peatfield

doi:10.1007/s00153-006-0007-1

An Analytic Zariski Structure Over a Field

NJ Peatfield

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

Following the introduction and preliminary investigations of analytic Zariski structures in [PZ05], an example of a Zariski structure extending an algebraically enclosed field is provided. The example is constructed using Hrushovski's method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms.

Translated title of the contribution	An Analytic Zariski Structure Over a Field
Original language	English
Pages (from-to)	739 - 768
Number of pages	30
Journal	Archive for Mathematical Logic
Volume	45 (6)
DOIs	https://doi.org/10.1007/s00153-006-0007-1
Publication status	Published - Aug 2006

Bibliographical note

Publisher: Springer

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10.1007/s00153-006-0007-1

http://www.springerlink.com/content/9p20602htx521l88/

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Cite this

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title = "An Analytic Zariski Structure Over a Field",

abstract = "Following the introduction and preliminary investigations of analytic Zariski structures in [PZ05], an example of a Zariski structure extending an algebraically enclosed field is provided. The example is constructed using Hrushovski's method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms.",

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AB - Following the introduction and preliminary investigations of analytic Zariski structures in [PZ05], an example of a Zariski structure extending an algebraically enclosed field is provided. The example is constructed using Hrushovski's method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms.

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M3 - Article (Academic Journal)

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