# 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.
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