Invariants of Singularities

• Grant number: 18/22090-5
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2019
• End date: February 28, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Nivaldo Tomazella
• Grantee: João Nivaldo Tomazella
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This research project proposes the study of analytic and topological invariants of complex analytic sets and maps defined on these sets and also the study of equisingularity of families of analytic sets and maps. (AU)

Scientific publications

(6)

(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)

CARVALHO, R. S.; NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. Families of ICIS with constant total Milnor number. INTERNATIONAL JOURNAL OF MATHEMATICS, v. 32, n. 13, DEC 2021. (18/22090-5, 16/25730-0)

NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; LIMA-PEREIRA, B. K.; TOMAZELLA, J. N.. THE BRUCE-ROBERTS NUMBER OF A FUNCTION ON A HYPERSURFACE WITH ISOLATED SINGULARITY. QUARTERLY JOURNAL OF MATHEMATICS, v. 71, n. 3, p. 1049-1063, SEP 2020. (16/25730-0, 18/22090-5)

CARVALHO, R. S.; NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. Equisingularity of Families of Functions on Isolated Determinantal Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, n. 1, p. 20-pg., 2021-03-02. (18/22090-5, 16/25730-0)

SILVA DE SOUZA, C. H.; TOMAZELLA, J. N.. Magic p-dimensional cubes (vol 96, pg 361, 2001). ACTA ARITHMETICA, v. 191, n. 1, p. 6-pg., 2019-01-01. (18/22090-5)

CARVALHO, R. S.; NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. quisingularity of Families of Functions on Isolated Determinantal Singularitie. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, n. 1, MAR 2021. (18/22090-5, 16/25730-0)

CARVALHO, R. S.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. mu-CONSTANT DEFORMATIONS OF FUNCTIONS ON AN ICIS. JOURNAL OF SINGULARITIES, v. 19, p. 163-176, JAN-DEC 2019. (18/22090-5, 16/25730-0)