Geometry of bifurcation sets of generic unfoldings of corank two functions

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dc.contributor.authorSaji, Kentaro
dc.contributor.authordos Santos, Samuel Paulino [UNESP]
dc.contributor.institutionKobe University
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T08:31:15Z
dc.date.available2022-04-29T08:31:15Z
dc.date.issued2021-11-01
dc.description.abstractWe study the geometry of bifurcation sets of generic unfoldings of D4±-functions. Taking blow-ups, we show each of the bifurcation sets of D4±-functions admits a parametrization as a surface in R3. Using this parametrization, we investigate the behavior of the Gaussian curvature and the principal curvatures. Furthermore, we investigate the number of ridge curves and subparabolic curves near their singular point.en
dc.description.affiliationDepartment of Mathematics Graduate School of Science Kobe University, Rokkodai 1-1, Nada
dc.description.affiliationDepartamento de Matemática Ibilce Universidade Estadual Paulista (Unesp), R. Cristóvão Colombo, 2265, Jd Nazareth
dc.description.affiliationUnespDepartamento de Matemática Ibilce Universidade Estadual Paulista (Unesp), R. Cristóvão Colombo, 2265, Jd Nazareth
dc.description.sponsorshipJapan Society for the Promotion of Science
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdJapan Society for the Promotion of Science: 18K03301
dc.description.sponsorshipIdFAPESP: 2019/10156-4
dc.format.extent553-575
dc.identifierhttp://dx.doi.org/10.1007/s00605-021-01607-8
dc.identifier.citationMonatshefte fur Mathematik, v. 196, n. 3, p. 553-575, 2021.
dc.identifier.doi10.1007/s00605-021-01607-8
dc.identifier.issn0026-9255
dc.identifier.scopus2-s2.0-85111164596
dc.identifier.urihttp://hdl.handle.net/11449/229209
dc.language.isoeng
dc.relation.ispartofMonatshefte fur Mathematik
dc.sourceScopus
dc.subjectBifurcation set
dc.subjectCaustics
dc.subjectParabolic curve
dc.subjectPrincipal curvature
dc.titleGeometry of bifurcation sets of generic unfoldings of corank two functionsen
dc.typeArtigo
unesp.author.orcid0000-0002-1863-9713[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas