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March 2010 Non-degenerate mixed functions
Mutsuo Oka
Kodai Math. J. 33(1): 1-62 (March 2010). DOI: 10.2996/kmj/1270559157

Abstract

Mixed functions are analytic functions in variables z1, ..., zn and their conjugates $\bar z_1$, ..., $\bar z_n$. We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.

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Mutsuo Oka. "Non-degenerate mixed functions." Kodai Math. J. 33 (1) 1 - 62, March 2010. https://doi.org/10.2996/kmj/1270559157

Information

Published: March 2010
First available in Project Euclid: 6 April 2010

zbMATH: 1195.14061
MathSciNet: MR2732230
Digital Object Identifier: 10.2996/kmj/1270559157

Rights: Copyright © 2010 Tokyo Institute of Technology, Department of Mathematics

Vol.33 • No. 1 • March 2010
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