The rationality of the Hilbert-Kunz multiplicity in graded dimension two

Details The rationality of the Hilbert-Kunz multiplicity in graded dimension two The rationality of the Hilbert-Kunz multiplicity in graded dimension two

2004-02-11

arxiv.org/abs/math/0402180v3

Mathematics

Commutative Algebra

Some minor changes

Scientific paper

We show that the Hilbert-Kunz multiplicity is a rational number for an R_+-primary homogeneous ideal I=(f_1, ..., f_n) in a two-dimensional graded domain R of finite type over an algebraically closed field of positive characteristic. Moreover we give a formula for the Hilbert-Kunz multiplicity in terms of certain rational numbers coming from the strong Harder-Narasimhan filtration of the syzygy bundle Syz(f_1, . . ., f_n) on the projective curve Y = Proj R.

Affiliated with

Also associated with

No associations

Rating

The rationality of the Hilbert-Kunz multiplicity in graded dimension two 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 rationality of the Hilbert-Kunz multiplicity in graded dimension two, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The rationality of the Hilbert-Kunz multiplicity in graded dimension two will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699366