Invariant of determinantal singularities and of maps on analytic varieties.

• Grant number: 16/25730-0
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2017
• End date: September 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Bruna Orefice Okamoto
• Grantee: Bruna Orefice Okamoto
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated researchers: Francisco Braun ; João Nivaldo Tomazella

Abstract

This project proposes to study efficient methods to calculate the invariant associated to the singularities, more specifically, the polar multiplicities of an isolated determinantal singularity. We intend also to study the real jacobian conjecture for maps with a component of degree bigger then $4$ and smaller then $10$. (AU)

Scientific publications

(5)

(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.. 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)

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)