Canonical Resolutions over Koszul Algebras
Commutative Algebra
2021-05-07 v2 Rings and Algebras
Abstract
We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul algebras. Our approach has the advantage of producing resolutions that are both more explicit and minimal compared to those previously discovered by Green and Mart\'{\i}nez-Villa \cite{GreenMartinezVilla} or Mart\'{\i}nez-Villa and Zacharia \cite{MartinezVillaZacharia}.
Keywords
Cite
@article{arxiv.2011.12409,
title = {Canonical Resolutions over Koszul Algebras},
author = {Eleonore Faber and Martina Juhnke-Kubitzke and Haydee Lindo and Claudia Miller and Rebecca R. G. and Alexandra Seceleanu},
journal= {arXiv preprint arXiv:2011.12409},
year = {2021}
}
Comments
To appear in the Springer volume "Women in Commutative Algebra-Proceedings of the 2019 WICA Workshop"