ON LECH'S LIMIT FORMULA FOR MODULES

Autor(es)

Callejas-Bedregal, R. ; Jorge Perez, V. H.

• Tipo de documento: Artigo Científico
• Fonte: Colloquium Mathematicum; v. 148, n. 1, p. 27-37, 2017.
• Citações Web of Science: 0

Resumo

Let R = circle plus(infinity)(n = 0) R-n be a standard graded algebra and M = circle plus(infinity)(n = 0) M-n a graded Noetherian R-module. The main objective of this work is to derive a Lech type formula for a sequence of homogeneous elements a(1) , . . . , a(m) of degree one which form a g-multiplicity system of R. We also extend to this context the well known Serre Theorem, that is, we prove that for t >> 0 the g-multiplicity symbol e(t) (a(1) , . . . , a(m); R), introduced by Kirby (1987), coincides with the Buchsbaum-Rim multiplicity e(BR) (I; R) of the R-0-module I generated by a(1) , . . . , a(m). (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