# 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 $L(f)=2$.