Logarithmic limit sets of real semi-algebraic sets

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Abstract

This paper is about the logarithmic limit sets of real semi-algebraic sets, and, more generally, about the logarithmic limit sets of sets definable in an o-minimal, polynomially bounded structure. We prove that most of the properties of the logarithmic limit sets of complex algebraic sets hold in the real case. This includes the polyhedral structure and the relation with the theory of non-Archimedean fields, tropical geometry and Maslov dequantization.

Original languageEnglish
Pages (from-to)155-190
Number of pages36
JournalAdvances in Geometry
Volume13
Issue number1
DOIs
StatePublished - Jan 2013

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