Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Non-degenerate mixed functions
Mutsuo Oka
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2010 年 33 巻 1 号 p. 1-62

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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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© 2010 Department of Mathematics, Tokyo Institute of Technology
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