The Hilbert-Kunz functions of two-dimensional rings of type ADE

2013/08/23 by Brinkmann, Daniel · 1 citation
#13A35 #13A50 #13C14 #13D02 #13D40 #14J17 #14J60 #20G05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1308.5085

Abstract

We compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.

Cited by

• Hilbert-Kunz series, F-signature series, and weak p-fractals

Related

• Hilbert-Kunz functions of surface rings of type ADE
• Hilbert-Kunz functions over rings regular in codimension one
• Hilbert-Kunz functions of 2 x 2 determinantal rings
• Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra
• Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex