Normal reduction numbers for normal surface singularities with application to elliptic singularities of Brieskorn type

Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida

In this paper, we give a formula for normal reduction number of an integrally closed $\mathfrak{m}$-primary ideal of a $2$-dimensional normal local ring $(A,\mathfrak{m})$ in terms o…