Pith Number

pith:K6GIFQLS

pith:2026:K6GIFQLS5YBSZJTDMRUZPFPNTM

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Spherical Twists for Gorenstein Orders and $G$-Hilb

Marina Godinho

For Gorenstein orders A with suitable quotients B, twists around derived restriction of scalars are autoequivalences whose cotwist is a Nakayama shift.

arxiv:2605.14864 v1 · 2026-05-14 · math.RT

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Claims

C1strongest claim

Given a Gorenstein order A and a quotient p: A → B, under natural conditions on B the twist around the corresponding derived restriction of scalars functor is a derived autoequivalence of A; the associated cotwist is a shift of the Nakayama functor of B.

C2weakest assumption

The natural conditions on the quotient B that make the twist a derived autoequivalence; these are not fully specified in the abstract but are required for the construction to hold.

C3one line summary

Constructs derived autoequivalences of Gorenstein orders as spherical twists around derived restriction functors and applies the results to G-Hilbert schemes.

References

13 extracted · 13 resolved · 2 Pith anchors

[1] [Add16] N. Addington. New derived symmetries ofsomehyperkähler varieties.Algebr. Geom.3.2 (2016), pp. 223–260. [AL17] R. Anno and T. Logvinenko. Spherical DG-functors. J. Eur. Math. Soc. (JEMS)19.9 (2 2016

[2] Spherical functors 2023 · arXiv:0711.4409

[3] Cambridge University Press, Cambridge, 1993, pp 1993

[4] [CMT07] A. Craw, D. Maclagan and R. R. Thomas. Moduli of McKay quiver representations. II. Gröbner basis techniques.J. Algebra316.2 (2007), pp. 514–535. [Don24] W. Donovan. Derived symmetries for crep 2007

[5] (arXiv : 2409.19555 [math.AG]). [DW16] W. Donovan and M. Wemyss. Noncommutative deformations and flops. Duke Math. J.165.8 (2016), pp. 1397–1474. [DW19a] W. Donovan and M. Wemyss. Contractions and def 2016

Receipt and verification

First computed	2026-05-17T23:38:56.205650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578c82c172ee032ca66364699795ed9b24d5b21dc865b9108a0dd6ddf8ec06bf

Aliases

arxiv: 2605.14864 · arxiv_version: 2605.14864v1 · doi: 10.48550/arxiv.2605.14864 · pith_short_12: K6GIFQLS5YBS · pith_short_16: K6GIFQLS5YBSZJTD · pith_short_8: K6GIFQLS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K6GIFQLS5YBSZJTDMRUZPFPNTM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 578c82c172ee032ca66364699795ed9b24d5b21dc865b9108a0dd6ddf8ec06bf

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-14T14:10:57Z",
    "title_canon_sha256": "458839bb8671f62aefb46f65b882b7e7d09f2764c40ca8502de0ca677818c8c0"
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}