Symmetrische Hilbert Kunz Theorie/Graduiert zweidimensional/Limes/enFunktion über Kokern/en/Definition

The symmetric Hilbert-Kunz multiplicity is defined by

${}e_{HK}^{S}(I)=\lim _{q\rightarrow \infty }{\frac {\sum _{m=0}^{\infty }\operatorname {dim} _{K}\,(\operatorname {coker} \,\psi _{q,m})}{\binom {q+n-1}{n}}}\,.$