Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps

DOI

Abstract

Let M ⊂ Rn+2 be a two-dimensional complete intersection. We show how to check whether a mapping f: M → R2 is 1-generic with only folds and cusps as singularities. In this case we give an effective method to count the number of positive and negative cusps of a polynomial f, using the signatures of some quadratic forms.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 40 (2), 200-213, 2017

    Department of Mathematics, Tokyo Institute of Technology

Keywords

Details 詳細情報について

  • CRID
    1390282680252581632
  • NII Article ID
    130005809518
  • DOI
    10.2996/kmj/1499846594
  • ISSN
    18815472
    03865991
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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