Polynomial mappings and Characteristic Classes of Singular Varieties
FLORESTAN FERNANDES AND BRAZILIAN SOCIOLOGICAL AND EDUCATIONAL THINKING
Infra-specific chemical variability and dynamics of phenolic and diterpenic second...
| Full text | |
| Author(s): |
Thuy, Nguyen Thi Bich
;
Ruas, Maria Aparecida Soares
[1]
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | ASIAN JOURNAL OF MATHEMATICS; v. 22, n. 6, p. 1157-1171, DEC 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
We construct singular varieties V-G associated to a polynomial mapping G : C-n -> Cn-1 where n >= 2. Let G : C-3 -> C-2 be a local submersion, we prove that if the homology or the intersection homology with total perversity (with compact supports or closed supports) in dimension two of any variety V-G is trivial then G is a fibration. In the case of a local submersion G : C-n -> Cn-1 where n >= 4, the result is still true with an additional condition. (AU) | |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/18706-7 - The Jelonek set and the Chern classes of singular varieties |
| Grantee: | Nguyen Thi Bich Thuy |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |