A Case Study in Bigraded Commutative Algebra

David Cox, Alicia Dickenstein, Hal Schenck

Research output: Chapter in Book/Report/Conference proceedingChapter


The purpose of this chapter is to illustrate how bigraded commutative algebra differs from the classical graded case and to indicate some of the theoretical tools needed to understand free resolutions in the bigraded case. Bigraded commutative algebra is a special case of multigraded commutative algebra, which is in turn an instance of toric (or polytopal) algebra.

Original languageEnglish (US)
Title of host publicationSyzygies and Hilbert functions
EditorsIrena Peeva
PublisherChapman and Hall/CRC
Number of pages45
ISBN (Electronic)9781420050912
ISBN (Print)9781584888604
StatePublished - 2007

Publication series

NameLecture Notes in Pure and Applied Mathematics
PublisherChapman Hall/CRC

ASJC Scopus subject areas

  • General Mathematics


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