English

Equivalences for noncommutative projective spaces

Rings and Algebras 2015-03-13 v3

Abstract

Following Artin and Zhang's formulation of noncommutative projective geometry, we classify up a family of skew polynomial quadratic algebras up to graded Morita equivalence and their corresponding noncommutative projective spaces up to birational equivalences. We also study their point varieties and provide examples of non-isomorphic noncommutative projective spaces.

Keywords

Cite

@article{arxiv.1001.4400,
  title  = {Equivalences for noncommutative projective spaces},
  author = {Jorge Vitoria},
  journal= {arXiv preprint arXiv:1001.4400},
  year   = {2015}
}

Comments

New version containing important corrections. The last theorem of the previous version was removed due to a gap in its proof

R2 v1 2026-06-21T14:38:57.986Z