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

Access to Document

10.1007/s00153-006-0007-1

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

Handle.net

Persistent link

Cite this

@article{6a3dd775a21444e680d7300b4aa8e64a,

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.",

author = "NJ Peatfield",

note = "Publisher: Springer",

year = "2006",

month = aug,

doi = "10.1007/s00153-006-0007-1",

language = "English",

volume = "45 (6)",

pages = "739 -- 768",

journal = "Archive for Mathematical Logic",

issn = "1432-0665",

publisher = "Springer Verlag",

}

TY - JOUR

T1 - An Analytic Zariski Structure Over a Field

AU - Peatfield, NJ

N1 - Publisher: Springer

PY - 2006/8

Y1 - 2006/8

N2 - 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.

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.

U2 - 10.1007/s00153-006-0007-1

DO - 10.1007/s00153-006-0007-1

M3 - Article (Academic Journal)

SN - 1432-0665

VL - 45 (6)

SP - 739

EP - 768

JO - Archive for Mathematical Logic

JF - Archive for Mathematical Logic

ER -