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Modified analytic trivialization for weighted homogeneous function-germs. (English) Zbl 0964.32023
We show that a real analytic family of real analytic functions admits a modified analytic trivialization (MAT) via an appropriate toric modification if their weighted initial forms define isolated singularities near zero.

MSC:
32S15 Equisingularity (topological and analytic)
32S45 Modifications; resolution of singularities (complex-analytic aspects)
58K30 Global theory of singularities
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