Specialisations and Algebraically Closed Fields

Publication date: 12 April 2013

Abstract: We study the theory specialisations in algebraic geometry from a model theoretic viewpoint. In particular we investigate universality and maximality of specialisations in algebraic geometry.

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valuations and their generalizations for commutative rings (13A18) Properties of classes of models (03C52) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10) Valued fields (12J10) Categoricity and completeness of theories (03C35) Foundations of algebraic geometry (14A99)

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