Equisingularity of determinantal varieties

• Grant number: 13/14014-3
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2013
• End date: September 30, 2015
• 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 the relationship between invariant of isolated singularities and the equisingularty of family of such singularities. More specifically, to verify the relationship between topological triviality or Whitney equisingularity of a family of isolated determinantal singularities and the constancy of the vanishing Euler characteristic or of the polar multiplicities of the elements in the family. Besides, we pretend to study the relationships between the invariants of the isolated singularities. We intend also to study the real jacobian conjecture for maps with a component of degree 4. (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)

NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. NON-NEGATIVE DEFORMATIONS OF WEIGHTED HOMOGENEOUS SINGULARITIES. Glasgow Mathematical Journal, v. 60, n. 1, p. 175-185, JAN 2018. (13/14014-3, 13/10856-0, 11/08877-3)

NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. Equisingularity of families of isolated determinantal singularities. MATHEMATISCHE ZEITSCHRIFT, v. 289, n. 3-4, p. 1409-1425, AUG 2018. (13/14014-3, 16/04740-7)

AMENT, D. A. H.; NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. The Euler obstruction of a function on a determinantal variety and on a curve. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 47, n. 3, p. 955-970, SEP 2016. (13/14014-3, 13/10856-0)

BRAUN, FRANCISCO; OREFICE-OKAMOTO, BRUNA. On polynomial submersions of degree 4 and the real Jacobian conjecture in R-2. Journal of Mathematical Analysis and Applications, v. 443, n. 2, p. 688-706, NOV 15 2016. (13/14014-3, 14/26149-3, 11/08877-3)

NUNO-BALLESTEROS, J. J.; OREFICE-OKAMOTO, B.; TOMAZELLA, J. N.. Equisingularity of map germs from a surface to the plane. COLLECTANEA MATHEMATICA, v. 69, n. 1, p. 65-81, JAN 2018. (13/14014-3, 16/04740-7)