HILBERT-KUNZ DENSITY FUNCTION AND HILBERT-KUNZ MULTIPLICITY

摘要

For a pair (M, I), where M is a finitely generated graded module over a standard graded ring R of dimension d, and I is a graded ideal with l (R/I) infinity, we introduce a new invariant HKd(M, I) called the Hilbert-Kunz density function. We relate this to the Hilbert-Kunz multiplicity e(HK)(M, I) by an integral formula.