Some computations of generalized Hilbert-Kunz function and multiplicity

Abstract

Let $R$ be a local ring of characteristic $p>0$ which is $F$-finite and has perfect residue field. We compute the generalized Hilbert-Kunz invariant for certain modules over several classes of rings: hypersurfaces of finite representation type, toric rings, $F$-regular rings.

References in corpus (2)

• Multiplicities of graded families of linear series and ideals
• Some extensions of Hilbert-Kunz multiplicity