# An algorithm for Hodge ideals

@article{Blanco2022AnAF, title={An algorithm for Hodge ideals}, author={Guillem Blanco}, journal={Math. Comput.}, year={2022}, volume={91}, pages={2955-2967} }

. We present an algorithm to compute the Hodge ideals [MP19a, MP19b] of Q -divisors associated to any reduced eﬀective divisor D . The computation of the Hodge ideals is based on an algorithm to compute parts of the V -ﬁltration of Kashiwara and Malgrange on ι + O X ( ∗ D ) and the characterization [MP20b] of the Hodge ideals in terms of this V -ﬁltration. In particular, this gives a new algorithm to compute the multiplier ideals and the jumping numbers of any eﬀective divisor.

## One Citation

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