The Upper Bound of Frobenius Related Length Functions

Details The Upper Bound of Frobenius Related Length Functions The Upper Bound of Frobenius Related Length Functions

2005-01-14

arxiv.org/abs/math/0501209v1

Mathematics

Commutative Algebra

11 pages

Scientific paper

In this paper, we study the asymptotic behavior of lengths of $\tor$ modules of homologies of complexes under the iterations of the Frobenius functor in positive characteristic. We first give upper bounds to this type of length functions in lower dimensional cases and then construct a counterexample to the general situation. The motivation of studying such length functions arose initially from an asymptotic length criterion given in [D4] which is a sufficient condition to a special case of nonnegativity of $\chi_\infty$. We also provide an example to show that this sufficient condition does not hold in general.

Affiliated with

Also associated with

No associations

Rating

The Upper Bound of Frobenius Related Length Functions 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 The Upper Bound of Frobenius Related Length Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Upper Bound of Frobenius Related Length Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87945