D-Modules and arrangements of hyperplanes

Research output: Contribution to journalArticle (Contribution to Journal)peer-review


Let A be a central arrangement of hyperplanes in Cn defined by the homogeneous polynomial dA. Let Dn be the Weyl algebra of rank n over C and let [Math equation] be the algebra of rational functions on the variety [math equation]. Studying the structure of P as a Dn-module we obtain a sequence of new Dn-modules. These modules allow us to define useful complexes that determine the De Rham cohomology of [math equation]. Finally we compute the Poincaré series of P.

Original languageEnglish
Pages (from-to)429-444
Number of pages16
JournalTokyo Journal of Mathematics
Issue number2
StatePublished - 1 Jan 2006
Externally publishedYes

Fingerprint Dive into the research topics of 'D-Modules and arrangements of hyperplanes'. Together they form a unique fingerprint.

Cite this