English

Noncommutative resolutions using syzygies

Representation Theory 2018-10-17 v1 Commutative Algebra

Abstract

Given a noether algebra with a noncommutative resolution, a general construction of new noncommutative resolutions is given. As an application, it is proved that any finite length module over a regular local or polynomial ring gives rise, via suitable syzygies, to a noncommutative resolution.

Keywords

Cite

@article{arxiv.1609.04842,
  title  = {Noncommutative resolutions using syzygies},
  author = {Hailong Dao and Osamu Iyama and Srikanth B. Iyengar and Ryo Takahashi and Michael Wemyss and Yuji Yoshino},
  journal= {arXiv preprint arXiv:1609.04842},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-22T15:51:19.186Z