Multiplicities of Maxwell sets of Pham singularities


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Abstract

A two-sided estimate of local multiplicities of Maxwell sets of isolated singularities of smooth functions is proved. This estimate is sharp for semi-homogeneous functions.

About the authors

V. A. Vassiliev

Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics

Author for correspondence.
Email: vva@mi.ras.ru
Russian Federation, Moscow; Moscow

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