Characterizations of Regular Local Rings in Positive Characteristics

Details Characterizations of Regular Local Rings in Positive Characteristics Characterizations of Regular Local Rings in Positive Characteristics

2007-02-18

arxiv.org/abs/math/0702531v2

Mathematics

Commutative Algebra

6 pages

Scientific paper

In this note, we provide several characterizations of regular local rings in positive characteristics, in terms of the Hilbert-Kunz multiplicity and its higher $\tor$ counterparts $\i t_i=\underset{n \to \infty}{\lim} \l(\tor_i(k,{}^{f^n} R))/p^{nd}$. We also apply the characterizations to improve a recent result by Bridgeland and Iyengar in the characteristic $p$ case. Our proof avoids using the existence of big Cohen-Macaulay modules, which is the major tool in the proof of Bridgeland and Iyengar.

Affiliated with

Also associated with

No associations

Rating

Characterizations of Regular Local Rings in Positive Characteristics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Characterizations of Regular Local Rings in Positive Characteristics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterizations of Regular Local Rings in Positive Characteristics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591530