Algebraic local cohomologies and local $b$-functions attached to semiquasihomogeneous singularities with $L(f)=2$

Yayoi Nakamura; Shinichi Tajima

doi:10.4171/118

BooksirmaCollected Volumepp. 103–115

Algebraic local cohomologies and local $b$ -functions attached to semiquasihomogeneous singularities with $L (f) = 2$

Yayoi Nakamura
Kinki University, Osaka, Japan
Shinichi Tajima
University of Tsukuba, Ibaraki, Japan

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Abstract

The role of the weighted degree of algebraic local cohomology classes in the computation of $b$ -function is discussed. The result which is similar to quasihomogeneous cases is observed for semiquasihomogeneous isolated singularities with $L (f) = 2$ .