A note on -bases of a regular affine domain extension

Author:
Tomoaki Ono

Journal:
Proc. Amer. Math. Soc. **136** (2008), 3079-3087

MSC (2000):
Primary 13B99; Secondary 14A10

DOI:
https://doi.org/10.1090/S0002-9939-08-09338-6

Published electronically:
April 30, 2008

MathSciNet review:
2407070

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a tower of commutative rings where is a regular affine domain over an algebraically closed field of prime characteristic and is a regular domain. Suppose has a -basis over and . For a subset of whose elements satisfy a certain condition on linear independence, let be a set of maximal ideals of such that is a -basis of over . We shall characterize this set in a geometrical aspect.

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Additional Information

**Tomoaki Ono**

Affiliation:
Tokyo Metropolitan College of Industrial Technology, 8-17-1, Minami-senju, Arakawa-ku, Tokyo 116-0003, Japan

Email:
tono@kouku-k.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-08-09338-6

Keywords:
Grassmannian,
K\"{a}hler differential,
$p$-basis,
Zariski open set

Received by editor(s):
November 21, 2006

Received by editor(s) in revised form:
July 27, 2007

Published electronically:
April 30, 2008

Communicated by:
Bernd Ulrich

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.