An algorithm for Hodge ideals
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 $\iota_{+}\mathscr{O}_X(*D)$ and the charact...
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| creator | Blanco, Guillem |
| description | 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 $\iota_{+}\mathscr{O}_X(*D)$ 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. |
| doi_str_mv | 10.48550/arxiv.2102.11124 |
| format | Article |
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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 $\iota_{+}\mathscr{O}_X(*D)$ 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.</description><identifier>DOI: 10.48550/arxiv.2102.11124</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry ; Mathematics - Commutative Algebra</subject><creationdate>2021-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2102.11124$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2102.11124$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Blanco, Guillem</creatorcontrib><title>An algorithm for Hodge ideals</title><description>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 $\iota_{+}\mathscr{O}_X(*D)$ 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
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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 $\iota_{+}\mathscr{O}_X(*D)$ 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.</abstract><doi>10.48550/arxiv.2102.11124</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Mathematics - Commutative Algebra |
| title | An algorithm for Hodge ideals |
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