CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Peru
Associate professor (MS-5.2) at the University of São Paulo. Master's at Mathematics from the State University of Campinas (1996) and have PhD from the University of São Paulo-ICMC-USP-São Carlos (1999). He has experience in Mathematics, with emphasis in Commutative Algebra and Complex Singularity Theory, currently researcher in the following sub-areas: Cohomological Algebra; Ext and Tor functors, Local Cohomology of Modules and Local Cohomology of Graduated Modules, Formal Local Cohomology, Cohomological Modular Invariants, Application Germs Complexity, Equivalence of Application Germs, Multiplicity of Ideals and Modules. (Source: Lattes Curriculum)
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 g…
We will present here two research projects that will be developed through the visit of the Professors Roger Wiegand and Sylvia Weigand to ICMC-USP. These projects have as pillars the theory of multiplicities and the theory of local cohomology. The first project proposal deals with an extension of Hilbert's famous Syzygy Theorem for cofinite modules. As a consequence of this project, it wi…
We will present here two research projects that will be developed through the visit of the Professors Roger Wiegand and Sylvia Weigand to ICMC-USP. These projects have as pillars the theory of multiplicities and the theory of local cohomology. (AU)
(Only some records are available in English at this moment)
We will present here a research project, extremely broad in commutative algebra and homological algebra, which will be investigated over a two-year master's degree. This project is based on homological algebra theory such as Ext and Tor funkers, local module cohomology. But explicitly, the objective is to explore the structure and algebraic, homological, arithmetic and geometric propertie…
Kishor Shah proved the existence and uniqueness of a chain of ideals between the ideals $ I $ the ring $ R $ and the integral closure of the same, these ideals preserve the first $ k +1$ the Hilbert coefficients of $I$, i.e., there are ideals $I_k $ containing the ideal $I$, for every integer $ k = 1, \ ldots, d $ such that $ I \subset I_ d \subset \ldots \subset I_1 \subset \overline {…
In this work, we will go analyse when the Formal Local Cohomology defined by a pair of ideals is an Artinian module and establish conditons of finiteness for this module. (AU)
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 t…
| 6 / 6 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 3 / 2 | Completed scholarships abroad |
| 12 / 11 | All research grants and scholarships |
| Associated processes | |
(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)
| Publications | 12 |
| Citations | 11 |
| Cit./Article | 0.9 |
| Data from Web of Science | |
MIRANDA-NETO, CLETO B.. Maximally differential ideals of finite projective dimension. BULLETIN DES SCIENCES MATHEMATIQUES, v. 166, FEB 2021. Web of Science Citations: 0. (19/21843-2)
JORGE-PEREZ, VICTOR H.; MIRANDA-NETO, CLETO B.. Criteria for prescribed bound on projective dimension. COMMUNICATIONS IN ALGEBRA, JAN 2021. Web of Science Citations: 0. (19/21843-2)
JORGE-PEREZ, VICTOR H.; MIRANDA-NETO, CLETO B.. Homological aspects of derivation modules and critical case of the Herzog-Vasconcelos conjecture. COLLECTANEA MATHEMATICA, FEB 2021. Web of Science Citations: 0. (19/21843-2)
LIMA, P. H.; JORGE PEREZ, V. H.. EQUIMULTIPLE COEFFICIENT IDEALS. MATHEMATICA SCANDINAVICA, v. 121, n. 1, p. 5-18, 2017. Web of Science Citations: 0. (12/20304-1)
LIMA, P. H.; JORGE PEREZ, V. H.. GRADED VERSION OF LOCAL COHOMOLOGY WITH RESPECT TO A PAIR OF IDEALS. JOURNAL OF COMMUTATIVE ALGEBRA, v. 9, n. 4, p. 545-561, WIN 2017. Web of Science Citations: 1. (12/20304-1)
FREITAS, T. H.; JORGE PEREZ, V. H.. Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals. BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, v. 58, n. 2, p. 319-340, JUN 2017. Web of Science Citations: 1. (13/20723-7, 12/01084-0, 12/20304-1)
CALLEJAS-BEDREGAL, R.; JORGE PEREZ, V. H.. ON LECH'S LIMIT FORMULA FOR MODULES. Colloquium Mathematicum, v. 148, n. 1, p. 27-37, 2017. Web of Science Citations: 0. (12/20304-1)
FREITAS, THIAGO H.; JORGE PEREZ, VICTOR H.. On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals. CZECHOSLOVAK MATHEMATICAL JOURNAL, v. 69, n. 2, p. 453-470, JUN 2019. Web of Science Citations: 0. (13/20723-7, 12/01084-0)
CHU, L. Z.; JORGE PEREZ, V. H.; LIMA, P. H.. Ideal transforms and local cohomology defined by a pair of ideals. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 10, OCT 2018. Web of Science Citations: 0. (12/20304-1)
CHU, LIZHONG; JORGE PEREZ, V. H.. The Stanley regularity of complete intersections and ideals of mixed products. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 16, n. 7, JUL 2017. Web of Science Citations: 0. (12/20304-1)
CALLEJAS-BEDREGAL, R.; JORGE PEREZ, V. H.. Mixed multiplicities and the minimal number of generator of modules. Journal of Pure and Applied Algebra, v. 214, n. 9, p. 1642-1653, SEP 2010. Web of Science Citations: 7. (08/53703-0)
FREITAS, T. H.; PEREZ, V. H. JORGE. ON FORMAL LOCAL COHOMOLOGY MODULES WITH RESPECT TO A PAIR OF IDEALS. JOURNAL OF COMMUTATIVE ALGEBRA, v. 8, n. 3, p. 337-366, FAL 2016. Web of Science Citations: 2. (13/20723-7, 12/01084-0)
(References retrieved automatically from State of São Paulo Research Institutions)
FREITAS, Thiago Henrique de. Cohomologia local formal definida por um par de ideais. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (12/01084-0)