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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generic Geometry of Stable Maps of 3-Manifolds into R-4

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Author(s):
Casonatto, C. [1] ; Fuster, M. C. Romero [2] ; Atique, R. Wik [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Uberlandia UFU, Fac Matemat, Ave Joao Naves de Avila 2121, BR-38408100 Uberlandia, MG - Brazil
[2] Univ Valencia, Fac Matemat, Dept Geometria & Topol, Valencia 46100 - Spain
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 3, p. 547-561, SEP 2021.
Web of Science Citations: 0
Abstract

We describe the generic geometry of the 3D-crosscap (image of a stable map of a 3-manifold into R-4) by means of the simultaneous analysis of the generic singularities of height and squared distanced functions on the flag composed by the 3-manifold, the surface of double points and the crosscaps curve at any point of this curve. (AU)

FAPESP's process: 15/04409-6 - On the classification and topology of singularities
Grantee:Roberta Godoi Wik Atique
Support Opportunities: Regular Research Grants