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Paper Citation Record · LEDGER

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements

As of 21 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1909.00547.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1909.00547 v3

Coverage vector

measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T06:02:43.020424Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

30 of 30 outbound references displayed

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  • verified fuzzy21
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External citation measurements

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Outbound references

Observation a3e8f5f8-94aa-4d4c-88f5-bf3c2065801c · outbound

This paper cites Plus-one generated and next to free arrangements of hyperplanes.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Plus-one generated and next to free arrangements of hyperplanes

Reference 1

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Observation f2399a79-4767-4694-8b45-7b6e35f1e4c7 · outbound

This paper cites Local Bernstein-Sa to ideals: algorithm and exam- ples.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Local Bernstein-Sa to ideals: algorithm and exam- ples

Reference 2

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Observation 0712b016-dd43-4f22-939f-317f9c8212cc · outbound

This paper cites Bernstein-Sato Varieties and Annihilation of Powers.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Bernstein-Sato Varieties and Annihilation of Powers

Reference 3

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Observation c9b9bfb7-0c1f-442a-8d8e-8d829d88a9cd · outbound

This paper cites Analytic D-modules and applications , volume 247 of Mathematics and its Applications.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Analytic D-modules and applications , volume 247 of Mathematics and its Applications

Reference 4

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Observation f0a9ba5d-d098-4e73-88b2-f49cf6476bcb · outbound

This paper cites Cohen-Macaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Cohen-Macaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics

Reference 5

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Observation e8e8eb07-5bf6-48cd-88dc-77ccf17f6a72 · outbound

This paper cites New free divisors from old , 5(1):17–47, 2014.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements New free divisors from old , 5(1):17–47, 2014

Reference 6

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Observation 333fa000-a7ed-4770-9657-ea9dd2e3c58a · outbound

This paper cites Bernstein-Sato ideals and local systems.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Bernstein-Sato ideals and local systems

Reference 7

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Observation 8961b1ff-dcd7-4867-8be3-bc70cec6703b · outbound

This paper cites Zero loci of Bernstein-Sato ideals.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Zero loci of Bernstein-Sato ideals

Reference 8

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Observation 7ecc086d-c4ef-4abb-bc85-fa2a49a7209d · outbound

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Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Unresolved cited work

Reference 9

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Observation ff5a9455-3bd3-4bcc-8a54-75f77e5c1766 · outbound

This paper cites Solvable groups, free divis ors, and nonisolated matrix singularities I: Towers of free divisors.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Solvable groups, free divis ors, and nonisolated matrix singularities I: Towers of free divisors

Reference 10

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Observation 4abfd8dd-a0be-4474-95f9-f848633fb54b · outbound

This paper cites Computing Milnor fiber monodromy for some projective hypersurfaces.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Computing Milnor fiber monodromy for some projective hypersurfaces

Reference 11

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Observation 416dcf3b-2819-4dd6-97b1-840f22785c34 · outbound

This paper cites Linear free di- visors and the global logarithmic comparison theorem.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Linear free di- visors and the global logarithmic comparison theorem

Reference 12

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Observation 2ae711ba-db20-4ce1-b7e2-4f77f51d8d5a · outbound

This paper cites On the formal struc ture of logarithmic vector fields.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements On the formal struc ture of logarithmic vector fields

Reference 13

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Observation 805e13a5-c99b-4f92-b50e-da0a5cbf9f53 · outbound

This paper cites Cohomologie ´ e vanescente p-adique: calculs lo- caux.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Cohomologie ´ e vanescente p-adique: calculs lo- caux

Reference 14

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Observation 98c3b2a4-3e5e-4d0f-a5cf-5a13eb004564 · outbound

This paper cites Kashiwara.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Kashiwara

Reference 15

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Observation 0d9d65f0-0c33-4adb-a9d5-3ee84b5ac006 · outbound

This paper cites Filtration Relative, l'Id\'eal de Bernstein et ses pentes.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Filtration Relative, l'Id\'eal de Bernstein et ses pentes

Reference 16

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source=pdf_text observed=2026-08-14T06:02:42.957139Z digest=sha256:579b2e4bac13e63752c7e39564d892df1c6318a53f2468030cf4359c596dfe6c

Observation 8e782b1e-5b06-48f6-b39c-c7a7b12e06b3 · outbound

This paper cites Id\'eal de Bernstein d'un arrangement central g\'en\'erique d'hyperplans.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Id\'eal de Bernstein d'un arrangement central g\'en\'erique d'hyperplans

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:02:42.962025Z digest=sha256:465cf574861f5768b9f564d95b10f0d51e57d0c16472690178f8b8112efa202a

Observation ceaa9c28-904d-47fd-aa16-62a56f385a07 · outbound

This paper cites L'id\'eal de Bernstein d'un arrangement libre d'hyperplans lin\'eaires.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements L'id\'eal de Bernstein d'un arrangement libre d'hyperplans lin\'eaires

Reference 18

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Observation 517d0774-d2d0-4b0a-aad0-c26e380dbfb0 · outbound

This paper cites Malgrange.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Malgrange

Reference 19

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Observation e8f0d3de-a494-4db6-aa34-074bfed26d88 · outbound

This paper cites Adjoint divisors and fr ee divisors.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Adjoint divisors and fr ee divisors

Reference 20

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Observation ade0113d-eaa8-4d48-8692-3c32ad5daccb · outbound

This paper cites A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

Reference 21

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Observation e782bd41-42eb-48e0-a874-53ca0d7e0c22 · outbound

This paper cites Theory of logarithmic differential forms a nd logarithmic vector fields.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Theory of logarithmic differential forms a nd logarithmic vector fields

Reference 22

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source=pdf_text observed=2026-08-14T06:02:42.985099Z digest=sha256:fbd5ffd91aef39e9a45a7051b981ee630d12c6c1226387134bf5c70efb8f89f8

Observation ae05712d-7a52-4b58-b7a4-591363ba99d7 · outbound

This paper cites Bernstein-Sato polynomials of hyperp lane arrangements.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Bernstein-Sato polynomials of hyperp lane arrangements

Reference 23

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source=pdf_text observed=2026-08-14T06:02:42.991123Z digest=sha256:fedaea99ea997cd7a5a8475cb24a3a764823dbb80dacce169cdc1c2ca9b82cd1

Observation aa47f4fc-dd25-48aa-83ce-97501ccf4f5c · outbound

This paper cites Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci

Reference 24

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source=pdf_text observed=2026-08-14T06:02:42.995395Z digest=sha256:9baec90fbee6daafdf0d99f9d021eec0cb37c4a616783425f30567b39a159e7f

Observation 13531a8f-685d-4951-9cdc-3a9d3e2e0a0d · outbound

This paper cites Tohˇ aneanu Homology of homogeneous divisors.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Tohˇ aneanu Homology of homogeneous divisors

Reference 25

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Observation ac2f8f7a-c076-4e2f-940d-8f055f8069d4 · outbound

This paper cites Computing homomorphism s between holonomic D- modules.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Computing homomorphism s between holonomic D- modules

Reference 26

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Observation e4ca4655-1655-4c9d-b346-85ba9cf8986b · outbound

This paper cites Derivation degree sequences of non-free arrangements.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Derivation degree sequences of non-free arrangements

Reference 27

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Observation 68a7be8a-1512-4a74-abe3-681b5d862ba1 · outbound

This paper cites Bernstein-Sato polynomial versus cohomo logy of the Milnor fiber for generic hyperplane arrangements.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements Bernstein-Sato polynomial versus cohomo logy of the Milnor fiber for generic hyperplane arrangements

Reference 28

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source=pdf_text observed=2026-08-14T06:02:43.012509Z digest=sha256:3754f71671a9767a90f038ab84f01231cdc010199c63fa443c00568f0010b666

Observation af808aca-9223-4a24-adf8-e543c15fbe46 · outbound

This paper cites The Jacobian module, the Milnor fiber, and t he D-module generated by f s.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements The Jacobian module, the Milnor fiber, and t he D-module generated by f s

Reference 29

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source=pdf_text observed=2026-08-14T06:02:43.016339Z digest=sha256:26d33437c29350fa2417774c7867cdf2afc87c7e599256d94ad1885fe529d245

Observation 0a0bf92d-799a-40c3-a84b-1a9375b6d66b · outbound

This paper cites personal communication.

Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements personal communication

Reference 30

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