Logarithmic limit sets of real semi-algebraic sets

Details Logarithmic limit sets of real semi-algebraic sets Logarithmic limit sets of real semi-algebraic sets

2007-07-05

arxiv.org/abs/0707.0845v2

Mathematics

Algebraic Geometry

35 pages, 15 figures; some examples added, sections 2.3 and 4.1 shortened, some typos corrected

Scientific paper

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 include the polyhedral structure and the relation with the theory of non-archimedean fields, tropical geometry and Maslov dequantization.

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