English

Extensions of valuation rings containing $\bf Q$ as limits of smooth algebras

Commutative Algebra 2022-05-10 v3 Algebraic Geometry

Abstract

We give a necessary and sufficient condition for an extension of valuation rings containing Q\bf Q to be a filtered direct limit of smooth algebras.

Keywords

Cite

@article{arxiv.2011.05724,
  title  = {Extensions of valuation rings containing $\bf Q$ as limits of smooth algebras},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:2011.05724},
  year   = {2022}
}

Comments

In this form will appear in Bull. Math. Soc. Sci. Math. Roumanie, 65(113), (2022), No 2. arXiv admin note: text overlap with arXiv:1910.09123