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Paper Citation Record · LEDGER

On the geometry of the automorphism groups of affine varieties

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:1809.04175.

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

pith.paper-citation-record.v1
1809.04175 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:02:51.426901Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-03T00:17:28.628680Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a2d572c2-072f-40c2-9308-69a9fc3a5dc0 · inbound

Borel subgroups of the automorphism groups of affine toric surfaces cites this paper.

Borel subgroups of the automorphism groups of affine toric surfaces On the geometry of the automorphism groups of affine varieties

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T18:02:51.426901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:02:51.426901Z digest=sha256:a0fcbd14e8a58aaa42f922cdf8f771606fb3e48919b552eff2d5cce1433a1c56

Observation d11afa91-8df3-4e45-8333-5c2508efe689 · inbound

On the generators of coordinate algebras of affine ind-varieties cites this paper.

On the generators of coordinate algebras of affine ind-varieties On the geometry of the automorphism groups of affine varieties

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T11:55:56.720656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:55:56.720656Z digest=sha256:2b5cbbefa7d3894c9e765eca62ab97597d4ce620c8be449dc1cf75e71436a4ee

Observation 165201aa-b397-4a54-ab7b-109750512840 · inbound

Borel subalgebras of Lie algebras of vector fields cites this paper.

Borel subalgebras of Lie algebras of vector fields On the geometry of the automorphism groups of affine varieties

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-05-18T06:35:59.933135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-18T06:34:19.999509Z digest=sha256:d6f6157da26b5d85747ce3e54c9fa8603257120d9d7747b8f3cec974e1d1f8e5

Observation 06c2f0b1-a9a7-4ed3-93aa-2de34dd4b094 · inbound

Locally finite solvable Lie algebras of derivations cites this paper.

Locally finite solvable Lie algebras of derivations On the geometry of the automorphism groups of affine varieties

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-13T18:28:06.444411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-13T18:26:40.021137Z digest=sha256:02416cbdddc86cf953d58048acf20f67a60fd018942ebcb8eecfdc6dfaaf255d

Observation 94ea2884-52ae-4d55-82a7-4958244e9392 · inbound

Isotropy subgroups of homogeneous locally nilpotent derivations cites this paper.

Isotropy subgroups of homogeneous locally nilpotent derivations On the geometry of the automorphism groups of affine varieties

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:40:53.278360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T18:56:05.950676Z digest=sha256:ca772cbc8885612f4ec6f33994f90166a892db9c7ffd29d35fa14f2fb955e9ac

Observation 346e69b7-dd81-4e59-b406-f15f31f4466f · inbound

Infinite transitivity and polynomial vector fields cites this paper.

Infinite transitivity and polynomial vector fields On the geometry of the automorphism groups of affine varieties

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-05-21T06:29:42.103650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T06:28:40.105808Z digest=sha256:1c30c6656426ce7015d7641f7afb9448192ad99d068baa7b64eabbbb928ef9a8

Observation e3a44fe8-146f-40f4-8025-14fdc3636967 · inbound

Polynomial contractions of $\mathbb C^d$ and degree growth cites this paper.

Polynomial contractions of $\mathbb C^d$ and degree growth On the geometry of the automorphism groups of affine varieties

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-06-29T00:22:51.772138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T00:12:54.802537Z digest=sha256:4e63820a8acf0e245ce12836c3f41c3b70fe0e2d1a0fb26b9c3f0655e92ebd85

Observation a4198dad-7b44-4337-994f-3ee9a8566652 · inbound

Locally finite sets of derivations cites this paper.

Locally finite sets of derivations On the geometry of the automorphism groups of affine varieties

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-07-03T00:17:28.632625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-27T17:24:33.763852Z digest=sha256:fafb055dc410a8f5c58c9d2ae934b3152b2edad4497819f9d51fce738c2688e4

Observation 4e0d9aea-7e27-464d-b2fb-ba597ef824b4 · inbound

Automorphism groups of non-normal rigid affine surfaces are finite-dimensional cites this paper.

Automorphism groups of non-normal rigid affine surfaces are finite-dimensional On the geometry of the automorphism groups of affine varieties

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-02T06:26:43.701474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-02T06:21:14.204012Z digest=sha256:93a97249737294d5dce632aba4594612874a5c964d78aae196ada4e2355b4bd7

Observation af014159-6b81-497d-9006-3d03fa1fa0ba · inbound

Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$) cites this paper.

Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$) On the geometry of the automorphism groups of affine varieties

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T09:27:29.268604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:27:29.268604Z digest=sha256:a447c6ffd91231a0c8e9e35329fecb2acc84f4615d698fb639c37826e145cae1