In this dissertation, we study and prove formulas of Hodge ideals for three types of isolated hypersurface singularities, including quasihomogeneous singularities, Newton non-degenerate singularities and analytically irreducible plane curve singularities.
For quasihomogeneous singularities, we provide
a formula of Hodge ideals of $D=\alpha Z$ which is a Q-divisor.
A direct consequence...