TY - JOUR
T1 - Logarithmic limit sets of real semi-algebraic sets
AU - Alessandrini, Daniele
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84877971846&partnerID=8YFLogxK
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U2 - 10.1515/advgeom-2012-0020
DO - 10.1515/advgeom-2012-0020
M3 - Article
AN - SCOPUS:84877971846
SN - 1615-715X
VL - 13
SP - 155
EP - 190
JO - Advances in Geometry
JF - Advances in Geometry
IS - 1
ER -