Surface singularities on cyclic coverings and an inequality for the signature

• ASHIKAGA Tadashi

  Faculty of Engineering Tôhoku-Gakuin University

Abstract

For the signature of the Milnor fiber of a surface singularity of cyclic type, we prove a certain inequality, which naturally induce an answer of Durfee's conjecture in this case. For the proof, we use a certain perturbation method on the way of Hirzebruch's resolution process.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 51 (2), 485-521, 1999

  The Mathematical Society of Japan

Keywords

• Signature
• Milnor fiber
• cyclic covering
• plane curve singularity
• geometric genus
• Milnor number

Details

• CRID: 1390282680092757120
• NII Article ID: 10002151822
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05120485
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1674761
• NDL BIB ID: 4712271
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4712271
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed