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- W2896530706 abstract "We give an explicit formula for the Hodge filtration on the $mathscr{D}_X$-module $O_X(*Z)f^{1-alpha}$ associated to the effective $mathbb{Q}$-divisor $D=alphacdot Z$, where $0<alphale1$ and $Z=(f=0)$ is an irreducible hypersurface defined by $f$, a weighted homogeneous polynomial with an isolated singularity at the origin. In particular this gives a formula for the Hodge ideals of $D$. We deduce a formula for the generating level of the Hodge filtration, as well as further properties of Hodge ideals in this setting. We also extend the main theorem to the case when $f$ is a germ of holomorphic function that is convenient and has non-degenerate Newton boundary." @default.
- W2896530706 created "2018-10-26" @default.
- W2896530706 creator A5027369269 @default.
- W2896530706 date "2018-10-15" @default.
- W2896530706 modified "2023-09-27" @default.
- W2896530706 title "Hodge filtration and Hodge ideals for $mathbb{Q}$-divisors with weighted homogeneous isolated singularities" @default.
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