{"id":"https://openalex.org/W7204478951","doi":"https://doi.org/10.48550/arxiv.2608.25994","title":"Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction","display_name":"Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction","publication_year":2026,"publication_date":"2026-08-26","ids":{"openalex":"https://openalex.org/W7204478951","doi":"https://doi.org/10.48550/arxiv.2608.25994"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.25994","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.25994","pdf_url":"https://arxiv.org/pdf/2608.25994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.25994","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015968105","display_name":"Gwyn Bellamy","orcid":"https://orcid.org/0000-0002-7045-4177","observed_orcids":["https://orcid.org/0000-0002-7045-4177"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bellamy, Gwyn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038193151","display_name":"Tom Gannon","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gannon, Tom","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.8086000084877014,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.8086000084877014,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.11590000241994858,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.023099999874830246,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nilpotent-cone","display_name":"nilpotent cone","score":0.9900000095367432},{"id":"https://openalex.org/keywords/hamiltonian-reduction","display_name":"Hamiltonian reduction","score":0.9909999966621399},{"id":"https://openalex.org/keywords/cotangent-bundle","display_name":"cotangent bundle","score":0.9359999895095825},{"id":"https://openalex.org/keywords/stability-parameters","display_name":"stability parameters","score":0.7630000114440918},{"id":"https://openalex.org/keywords/maximal-torus","display_name":"maximal torus","score":0.9480000138282776},{"id":"https://openalex.org/keywords/git-quotients","display_name":"GIT quotients","score":0.6600000262260437},{"id":"https://openalex.org/keywords/projective-resolutions","display_name":"projective resolutions","score":0.4830000102519989}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8790000081062317},{"id":"https://openalex.org/C7979169","wikidata":"https://www.wikidata.org/wiki/Q1142143","display_name":"Cotangent bundle","level":3,"score":0.6995999813079834},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.645799994468689},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.536899983882904},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.43230000138282776},{"id":"https://openalex.org/C95565831","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine coordinate system","level":4,"score":0.4129999876022339},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.37790000438690186},{"id":"https://openalex.org/C185579658","wikidata":"https://www.wikidata.org/wiki/Q3554813","display_name":"Affine variety","level":3,"score":0.37790000438690186},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C202411454","wikidata":"https://www.wikidata.org/wiki/Q4688941","display_name":"Affine geometry of curves","level":4,"score":0.3517000079154968},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.3319999873638153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3301999866962433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3264999985694885},{"id":"https://openalex.org/C23684344","wikidata":"https://www.wikidata.org/wiki/Q382520","display_name":"Affine geometry","level":4,"score":0.32109999656677246},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.2962000072002411},{"id":"https://openalex.org/C62623296","wikidata":"https://www.wikidata.org/wiki/Q686291","display_name":"Affine group","level":3,"score":0.29109999537467957},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C37253","wikidata":"https://www.wikidata.org/wiki/Q5156502","display_name":"Complete intersection","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C24129628","wikidata":"https://www.wikidata.org/wiki/Q25345430","display_name":"Complex space","level":3,"score":0.25760000944137573},{"id":"https://openalex.org/C154610627","wikidata":"https://www.wikidata.org/wiki/Q382491","display_name":"Affine plane (incidence geometry)","level":3,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.25994","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.25994","pdf_url":"https://arxiv.org/pdf/2608.25994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.25994","doi":"https://doi.org/10.48550/arxiv.2608.25994","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.25994","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.25994","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.25994","pdf_url":"https://arxiv.org/pdf/2608.25994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204478951.pdf","grobid_xml":"https://content.openalex.org/works/W7204478951.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1691518058","https://openalex.org/W1985948516","https://openalex.org/W2037099729","https://openalex.org/W2052532747","https://openalex.org/W2077078014","https://openalex.org/W2084223537","https://openalex.org/W2762398913","https://openalex.org/W2963478938","https://openalex.org/W3021259459","https://openalex.org/W3033302156","https://openalex.org/W3037431501","https://openalex.org/W3114064751","https://openalex.org/W3203394525","https://openalex.org/W4247813966","https://openalex.org/W4256284935","https://openalex.org/W4287027546","https://openalex.org/W4312052894","https://openalex.org/W4396684096","https://openalex.org/W6908419704"],"related_works":["https://openalex.org/W6908419704","https://openalex.org/W1859005327","https://openalex.org/W7160432688","https://openalex.org/W2077078014","https://openalex.org/W1511486255","https://openalex.org/W2790302203","https://openalex.org/W2963478938","https://openalex.org/W2244364216","https://openalex.org/W4403622184","https://openalex.org/W7119027948"],"abstract_inverted_index":{"We":[0,50],"show":[1],"that":[2],"the":[3,29,33,53,57,70,74,78,86],"nilpotent":[4],"cone":[5],"associated":[6],"to":[7],"a":[8,47],"simply":[9],"connected":[10],"semisimple":[11],"algebraic":[12],"group,":[13],"together":[14],"with":[15],"all":[16],"its":[17],"crepant":[18,65],"projective":[19,66],"partial":[20,67],"resolutions,":[21],"can":[22],"be":[23],"constructed":[24],"as":[25,69],"Hamiltonian":[26],"reductions":[27],"of":[28,32,36,43,46,56,61,63,73,77,81],"affine":[30,38,75,83],"closure":[31,76],"cotangent":[34,79],"bundle":[35,80],"base":[37,54,82],"space":[39,84],"for":[40],"suitable":[41],"choices":[42],"stability":[44,88],"parameter":[45],"maximal":[48],"torus.":[49],"also":[51],"realize":[52],"change":[55],"universal":[58],"Poisson":[59],"deformation":[60],"each":[62],"these":[64],"resolutions":[68],"GIT":[71],"quotient":[72],"at":[85],"same":[87],"parameter.":[89]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-28T00:00:00"}