Super-regularity in local rings
β Scribed by Wolmer V. Vasconcelos
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 249 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R be a local ring of essentially finite type over a field k of characteristic p > 0. We introduce the concept of p n -bases for an integer n > 0, and the notions of an n-admissible field for R/k and of a t -admissible field for R/k. For such a local ring R we give regularity criteria in terms of
## Abstract Let __K__ be the quotient field of a 2βdimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a