Cohomología local con soporte un ideal monomial (D-módulos y combinatoria)
View/Open
eaca00.pdf (191,7Kb) (Restricted access)
Request copy
Què és aquest botó?
Aquest botó permet demanar una còpia d'un document restringit a l'autor. Es mostra quan:
- Disposem del correu electrònic de l'autor
- El document té una mida inferior a 20 Mb
- Es tracta d'un document d'accés restringit per decisió de l'autor o d'un document d'accés restringit per política de l'editorial
Document typeConference report
Defense date2000
PublisherEdicions UPC
Rights accessRestricted access - publisher's policy
Abstract
We study, by using the theory of algebraic D-modules, the local cohomology modules supported on a monomial ideal I of the polynomial ring R = k[x1, . . . , xn], where k is a field of characteristic zero. We compute the characteristic cycle of Hr I (R) and H p P(Hr 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 Hr I (R) vanishes in terms of the minimal primary decomposition of the monomial ideal I, compute the Bass numbers of Hr I (R) and describe its associated primes. The characteristic cycles also give some invariants of the ring R/I. We use these invariants to compute the Hilbert function of R/I, the minimal free resolutions of squarefree monomial ideals and the cohomology groups of the complement of an arrangement of linear varieties given by the monomial ideal I. Finally, we determine the local cohomology modules by using the category introduced by Galligo-GrangerMaisonobe [3] and compute its Hilbert function.
CitationAlvarez, J. Cohomología local con soporte un ideal monomial (D-módulos y combinatoria). A: Encuentro de Álgebra Computacional y Aplicaciones. "Actas del 6º Encuentro de Álgebra Computacional y Aplicaciones (EACA 2000): Barcelona, España: Septiembre 6-8, 2000". Edicions UPC, 2000, p. 91-102. ISBN 84-699-3037-0.
ISBN84-699-3037-0
Files | Description | Size | Format | View |
---|---|---|---|---|
eaca00.pdf![]() | 191,7Kb | Restricted access |
Except where otherwise noted, content on this work
is licensed under a Creative Commons license
:
Attribution-NonCommercial-NoDerivs 3.0 Spain