GRADED VERSION OF LOCAL COHOMOLOGY WITH RESPECT TO A PAIR OF IDEALS

Autor(es)

Lima, P. H. ^[1] ; Jorge Perez, V. H. ^[2]

Afiliação do(s) autor(es)

^[1] UFM, Bacharelado Ciencia & Tecnol, Sao Luis - Brazil

^[2] Univ Sao Paulo, Dept Math, Inst Math & Comp Sci, ICMC, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF COMMUTATIVE ALGEBRA; v. 9, n. 4, p. 545-561, WIN 2017.
• Citações Web of Science: 1

Resumo

In this paper, we prove some well-known results on local cohomology with respect to a pair of ideals in graded version, such as the Independence theorem, Lichtenbaum-Harshorne vanishing theorem, Basic finiteness and vanishing theorem, among others. In addition, we present a generalized version of the Melkersson theorem regarding the Artinianness of modules, and a result concerning Artinianness of local cohomology modules. (AU)

• Processo FAPESP: 12/20304-1 - Multiplicidades, multiplicidades mistas, coeficientes de Hilbert para módulos e equisingularidade
• Beneficiário: Victor Hugo Jorge Pérez
• Modalidade de apoio: Bolsas no Exterior - Pesquisa