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

Iwona Krzyżanowska , Aleksandra Nowel

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. © 2017, Tokyo Institute of Technology. All rights reserved.
Author Iwona Krzyżanowska IM
Iwona Krzyżanowska,,
- Institute of Mathematics
, Aleksandra Nowel IM
Aleksandra Nowel,,
- Institute of Mathematics
Other language title versions
Journal seriesKodai Mathematical Journal, ISSN 0386-5991
Issue year2017
Vol40
No2
Pages200-213
Publication size in sheets0.65
Keywords in Englishcusp, fold, one-generic, quadratic form, singularity
DOIDOI:10.2996/kmj/1499846594
Languageen angielski
Score (nominal)15
ScoreMinisterial score = 15.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 15.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.46 (2) - 2016=0.376 (5)
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