| Grant number: | 19/21843-2 |
| Support type: | Research Grants - Visiting Researcher Grant - Brazil |
| Duration: | March 01, 2020 - February 28, 2021 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Victor Hugo Jorge Pérez |
| Grantee: | Victor Hugo Jorge Pérez |
| Visiting researcher: | Cleto Brasileiro Miranda Neto |
| Visiting researcher institution: | Universidade Federal da Paraíba (UFPB). Centro de Ciências Exatas e da Natureza (CCEN), Brazil |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
This comprehensive project proposes groundbreaking research on current topics of major relevance in commutative algebra and related areas, focusing on:Study local cohomology modules and their variations, in all their aspects.We will also explore the structure and algebraic, homological, arithmetic and geometric properties of finely generated modules and their blowup algebras. One of the goals is to study special module classes, the depth formula for tensor products, the Auslander-Reiten conjecture, and the impact of the finitude of various homological dimensions. For more details see in the proposed project. (AU)