A function determined by a hypersurface of positive characteristic
Commutative Algebra
2016-03-15 v1
Abstract
Let R be a formal power series ring over a perfect field k of prime characteristic p, and let m be the maximal ideal of R. Suppose f is a non-zero element in m. In this paper, we introduce a function xi (x) associated with a hypersurface defined on the closed interval [0, 1] in R. The Hilbert-Kunz function and the F-signature of a hypersurface appear as the values of our function xi (x) on the interval s endpoints.
Cite
@article{arxiv.1603.04032,
title = {A function determined by a hypersurface of positive characteristic},
author = {Kosuke Ohta},
journal= {arXiv preprint arXiv:1603.04032},
year = {2016}
}