English

Taylor and minimal resolutions of homogeneous polynomial ideals

Commutative Algebra 2007-05-23 v1

Abstract

We give a necessary and sufficient condition on a homogeneous polynomial ideal for its Taylor complex to be exact. Then we give a combinatorial construction of a minimal resolution for ideals satisfying the above condition (in particular for monomial ideals).

Keywords

Cite

@article{arxiv.math/9905125,
  title  = {Taylor and minimal resolutions of homogeneous polynomial ideals},
  author = {Sergey Yuzvinsky},
  journal= {arXiv preprint arXiv:math/9905125},
  year   = {2007}
}