Summary: COHOMOLOG ’ IA LOCAL CON SOPORTE UN IDEAL
MONOMIAL (D­m’odulos y combinatoria)
Josep ’
Alvarez Montaner
Resum
We study, by using the theory of algebraic D­modules, the local cohomology modules
supported on a monomial ideal I of the polynomial ring R = k[x 1 , . . . , x n ], where k
is a field of characteristic zero. We compute the characteristic cycle of H r
I
(R) and
H p
P
(H r
I
(R)), where P is an homogeneous prime ideal of R. By using these results we
can describe the support of these modules, in particular we can decide when the local
cohomology module H r
I (R) vanishes in terms of the minimal primary decomposition of
the monomial ideal I, compute the Bass numbers of H r
I (R) and describe its associated

Source: Alvarez Montaner, Josep - Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya

Collections: Mathematics