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

Iwona Krzyżanowska , Aleksandra Nowel


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. © 2017, Tokyo Institute of Technology. All rights reserved.
Author Iwona Krzyżanowska (FMPI/IM)
Iwona Krzyżanowska,,
- Institute of Mathematics
, Aleksandra Nowel (FMPI/IM)
Aleksandra Nowel,,
- Institute of Mathematics
Other language title versions
Journal seriesKodai Mathematical Journal, ISSN 0386-5991, (A 15 pkt)
Issue year2017
Publication size in sheets0.65
Keywords in Englishcusp, fold, one-generic, quadratic form, singularity
ASJC Classification2600 General Mathematics
Languageen angielski
Score (nominal)15
Score sourcejournalList
ScoreMinisterial score = 15.0, 10-06-2020, ArticleFromJournal
Publication indicators WoS Citations = 0.000; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.564; WoS Impact Factor: 2017 = 0.451 (2) - 2017=0.462 (5)
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