Modified analytic trivialization for weighted homogeneous function-germs

Toshizumi FUKUI; Laurentiu PAUNESCU

doi:10.2969/jmsj/05220433

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April, 2000 Modified analytic trivialization for weighted homogeneous function-germs

Toshizumi FUKUI, Laurentiu PAUNESCU

J. Math. Soc. Japan 52(2): 433-446 (April, 2000). DOI: 10.2969/jmsj/05220433

Abstract

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.

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Toshizumi FUKUI. Laurentiu PAUNESCU. "Modified analytic trivialization for weighted homogeneous function-germs." J. Math. Soc. Japan 52 (2) 433 - 446, April, 2000. https://doi.org/10.2969/jmsj/05220433