On the classification and topology of singularities

• Grant number: 15/04409-6
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2015
• End date: November 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Roberta Godoi Wik Atique
• Grantee: Roberta Godoi Wik Atique
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

To obtain the classification of singular lagrangian variety by the method of algebraic restrictions. To study the geometry of the generalized cross-cap. To obtain partial results concerning the Mond Conjecture relating the codimension with the image Milnor number. To obtain generators of the module of liftable vector fields. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

OSET SINHA, R.; WIK ATIQUE, R.. New techniques for classification of multigerms. Topology and its Applications, v. 234, p. 311-334, FEB 1 2018. (15/04409-6)

DE BRITO LIRA, F. ASSUNCAO; DOMITRZ, W.; ATIQUE, R. WIK. Classification of transversal Lagrangian stars. Topology and its Applications, v. 235, p. 352-367, FEB 15 2018. (15/04409-6, 12/16426-4)

CASONATTO, C.; FUSTER, M. C. ROMERO; ATIQUE, R. WIK. Generic Geometry of Stable Maps of 3-Manifolds into R-4. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 3, p. 547-561, SEP 2021. (15/04409-6)

SINHA, R. OSET; RUAS, M. A. S.; ATIQUE, R. WIK. The extra-nice dimensions. MATHEMATISCHE ANNALEN, NOV 2021. (14/00304-2, 15/04409-6)