Modified analytic trivialization for weighted homogeneous function-germs

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概要

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• 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.

• 社団法人 日本数学会の論文

著者

• Paunescu Laurentiu

  School Of Mathematics And Statistics University Of Sydney

• Paunescu Laurentiu

  School Of Mathematics And Statistics The University Of Sydney

• FUKUI Toshizumi

  Department of Mathematics Faculty of Science Saitama University

• Fukui Toshizumi

  Department Of General Education Nagano National College Of Technology

関連論文

• ON INJECTIVITY OF TAME MAPPINGS (The second Japanese-Australian Workshop on Real and Complex Singularities)
• Modified analytic trivialization for weighted homogeneous function-germs
• Isolated roundings and flattenings of submanifolds in Euclidean spaces
• Modified analytic trivialization via weighted blowing up
• THE ENRICHED RIEMANN SPHERE AND STABILITY (The second Japanese-Australian Workshop on Real and Complex Singularities)
• V-sufficiency from the weighted point of view
• Height functions on Whitney umbrellas (Singularity theory, geometry and topology)

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