English

Akizuki's counterexample

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

Following Akizuki, I construct a Noetherian local integral domain C_M whose normalisation (integral closure) is not finite over C_M. My proof follows closely Akizuki's ingenious calculations.

Cite

@article{arxiv.alg-geom/9503017,
  title  = {Akizuki's counterexample},
  author = {Miles Reid},
  journal= {arXiv preprint arXiv:alg-geom/9503017},
  year   = {2008}
}

Comments

Free sample of forthcoming textbook. Latex2e with package amslatex