Logarithmic limit sets of real semi-algebraic sets
Algebraic Geometry
2018-09-25 v2
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 include the polyhedral structure and the relation with the theory of non-archimedean fields, tropical geometry and Maslov dequantization.
Cite
@article{arxiv.0707.0845,
title = {Logarithmic limit sets of real semi-algebraic sets},
author = {Daniele Alessandrini},
journal= {arXiv preprint arXiv:0707.0845},
year = {2018}
}
Comments
35 pages, 15 figures; some examples added, sections 2.3 and 4.1 shortened, some typos corrected