Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals

• Grant number: 13/20723-7
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: January 05, 2014
• End date: November 04, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Victor Hugo Jorge Pérez
• Grantee: Thiago Henrique de Freitas
• Supervisor: Giulio Caviglia
• 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
• Associated to the scholarship: 12/01084-0 - Coefficients ideals for arbitrary ideals, BP.DR

Abstract

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)

Scientific publications

(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)

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. (13/20723-7, 12/20304-1, 12/01084-0)

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. (13/20723-7, 12/01084-0)

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. (12/01084-0, 13/20723-7)