Invariants of the bi-Lipschitz contact equivalence of continuous definable function germs

2019/01/14 by Pham, Tien-Son, Bui, Nguyen Thao Nguyen
#03C64 #14P15 #32S05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.04479

Abstract

We construct an invariant of the bi-Lipschitz contact equivalence of continuous function germs definable in a polynomially bounded o-minimal structure, such as semialgebraic functions. For a germ f, the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the connected components of the tangency variety of f.

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