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

Lima, P. H.; Jorge Perez, V. H.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Lima, P. H. ^[1] ; Jorge Perez, V. H. ^[2] Total Authors: 2
Affiliation:	^[1] UFM, Bacharelado Ciencia & Tecnol, Sao Luis - Brazil ^[2] Univ Sao Paulo, Dept Math, Inst Math & Comp Sci, ICMC, Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	JOURNAL OF COMMUTATIVE ALGEBRA; v. 9, n. 4, p. 545-561, WIN 2017.
Web of Science Citations:	1
Abstract
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)

FAPESP's process:	12/20304-1 - Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingularity
Grantee:	Victor Hugo Jorge Pérez
Support Opportunities:	Scholarships abroad - Research

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