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Thesis

Non-algebraic Zariski geometries

Abstract:

The thesis deals with definability of certain Zariski geometries, introduced by Zilber, in the theory of algebraically closed fields. I axiomatise a class of structures, called ``abstract linear spaces'', which are a common reduct of these Zariski geometries. I then describe what an interpretation of an abstract linear space in an algebraically closed field looks like. I give a new proof that the structure "quantum harmonic oscillator", introduced by Zilber and Solanki, is not in...

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Institution:
University of Oxford
Oxford college:
Merton College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

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Role:
Supervisor
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Funding agency for:
Dmitry Sustretov
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:b67f85d8-6fac-4820-913d-a064d3582412
Local pid:
ora:6954

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