Polynomial mappings and Characteristic Classes of Singular Varieties
Singularities of maps, characteristic classes and polynomials of Thom
Characteristic classes and Thom polynomials in counting singularities
Grant number: | 13/18706-7 |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
Start date: | May 01, 2014 |
End date: | March 31, 2015 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Maria Aparecida Soares Ruas |
Grantee: | Nguyen Thi Bich Thuy |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract This post-doctoral project has two parts. The first part concerns the conjectures and questions which are still open in my Ph. D thesis. This part continues the study of the asymptotic set of a dominant polynomial mapping F: Cn to Cn, which is stratified by the method of the ``ways''(façons) and characterized in some particular cases in my thesis. This study is connected to the Jacobian Conjecture. The second part concerns the Chern classes of the singular varieties defined by Marie-Hélène Schwartz as the obstruction to the construction of so-called ``radial" stratified frames. The construction is relatively complicated and requires fine and delicate techniques. The idea, initialized by T. Mostowski, is to build the ``Lipschitz" frames satisfying the adequate properties such that their obstruction allows to define the characteristic classes of singular varieties. | |
News published in Agência FAPESP Newsletter about the scholarship: | |
More itemsLess items | |
TITULO | |
Articles published in other media outlets ( ): | |
More itemsLess items | |
VEICULO: TITULO (DATA) | |
VEICULO: TITULO (DATA) | |