A-graded methods for monomial ideals

Christine Berkesch, Laura Felicia Matusevich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We use Zd-gradings to study d-dimensional monomial ideals. The Koszul functor is employed to interpret the quasidegrees of local cohomology in terms of the geometry of distractions and to explicitly compute the multiplicities of exponents. These multigraded techniques originate from the study of hypergeometric systems of differential equations.

Original languageEnglish (US)
Pages (from-to)2886-2904
Number of pages19
JournalJournal of Algebra
Issue number8
StatePublished - Oct 15 2009
Externally publishedYes


  • D-modules
  • Koszul complexes
  • Monomial ideals
  • Multigradings
  • Stanley-Reisner rings


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