Some computations of the generalized Hilbert-Kunz function and multiplicity

Dao, Hailong; Watanabe, Kei-ichi

doi:10.1090/proc/12928

Some computations of the generalized Hilbert-Kunz function and multiplicity
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by Hailong Dao and Kei-ichi Watanabe PDF

Proc. Amer. Math. Soc. 144 (2016), 3199-3206 Request permission

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, and weakly $F$-regular rings.

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