Modified analytic trivialization for weighted homogeneous function-germs

• FUKUI Toshizumi

  Department of Mathematics Faculty of Science Saitama University

• PAUNESCU Laurentiu

  School of Mathematics and Statistics University of Sydney

Bibliographic Information

Other Title

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

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (2), 433-446, 2000

  The Mathematical Society of Japan

Keywords

• modified analytic trivialization
• weighted homogeneous polynomials
• toric modifications

Details

• CRID: 1390001205115999488
• NII Article ID: 10004480342
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05220433
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742795
• NDL BIB ID: 5374863
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374863
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed