Equisingularity and the Theory of Integral Closure of modules.
| Grant number: | 12/20304-1 |
| Support Opportunities: | Scholarships abroad - Research |
| Start date: | October 01, 2013 |
| End date: | September 30, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Victor Hugo Jorge Pérez |
| Grantee: | Victor Hugo Jorge Pérez |
| Host Investigator: | Bernd Ulrich |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Institution abroad: | Purdue University, United States |
Abstract In recent years, using different sequences, expressed he mixed multiplicity in terms of the Hilbert-Samuel multiplicity, for example, in the case of m-primary ideals, Risler-Teissier in 1973 showed that each mixed multiplicity is the Hilbert-Samuel multiplicity of an ideal generated by a sequence superficial, then this was generalized to m-primary ideals using notions of joint reduction to a family of ideals, this result is called the fundamental theorem of Rees for multiplicities. This theorem is very important in commutative algebra and geometry. Therefore we intend obter the reciprocal of this theorem and make a study of multiplicities, mixed multiplicities of arbitrary ideals and modules. (AU) | |
| 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) | |