An algorithm for Hodge ideals

  title={An algorithm for Hodge ideals},
  author={Guillem Blanco},
  journal={Math. Comput.},
. 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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