Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps
Iwona Krzyżanowska , Aleksandra Nowel
AbstractLet 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. © 2017, Tokyo Institute of Technology. All rights reserved.
|Other language title versions|
|Journal series||Kodai Mathematical Journal, ISSN 0386-5991, (A 15 pkt)|
|Publication size in sheets||0.65|
|Keywords in English||cusp, fold, one-generic, quadratic form, singularity|
|Score||= 15.0, 24-07-2019, ArticleFromJournal|
|Publication indicators||: 2016 = 0.564; : 2017 = 0.451 (2) - 2017=0.462 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.