Modified analytic trivialization for weighted homogeneous function-germs Dedicated to Professor Tzee-Char Kuo's 60th birthday

Toshizumi FUKUI; Laurentiu PAUNESCU

doi:10.2969/jmsj/05220433

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Modified analytic trivialization for weighted homogeneous function-germs

Dedicated to Professor Tzee-Char Kuo's 60th birthday

Toshizumi FUKUI, Laurentiu PAUNESCU

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Keywords: modified analytic trivialization, weighted homogeneous polynomials, toric modifications

JOURNAL FREE ACCESS

2000 Volume 52 Issue 2 Pages 433-446

DOI https://doi.org/10.2969/jmsj/05220433

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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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