English

Some examples of two-dimensional regular rings

Commutative Algebra 2014-09-15 v1

Abstract

Let B be a ring and A=B[X,Y]/(aX2+bXY+cY21)A=B[X,Y]/(aX^2+bXY+cY^2-1) where a,b,cBa,b,c\in B. We study the smoothness of A over B, and the regularity of B when B is a ring of algebraic integers.

Keywords

Cite

@article{arxiv.1301.2615,
  title  = {Some examples of two-dimensional regular rings},
  author = {Tiberiu Dumitrescu and Cristodor Ionescu},
  journal= {arXiv preprint arXiv:1301.2615},
  year   = {2014}
}
R2 v1 2026-06-21T23:08:08.404Z