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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2102.11124 |
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| _version_ | 1866910058087972864 |
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| author | Blanco, Guillem |
| author_facet | Blanco, Guillem |
| contents | We present an algorithm to compute the Hodge ideals of $\mathbb{Q}$-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 Malgrange and Kashiwara on $ι_{+}\mathscr{O}_X(*D)$ and the characterization 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_11124 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An algorithm for Hodge ideals Blanco, Guillem Algebraic Geometry Commutative Algebra 14F10 We present an algorithm to compute the Hodge ideals of $\mathbb{Q}$-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 Malgrange and Kashiwara on $ι_{+}\mathscr{O}_X(*D)$ and the characterization 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. |
| title | An algorithm for Hodge ideals |
| topic | Algebraic Geometry Commutative Algebra 14F10 |
| url | https://arxiv.org/abs/2102.11124 |