{"id":"https://openalex.org/W7225573308","doi":"https://doi.org/10.5281/zenodo.24060227","title":"Canonical metrics on singular moduli of K3 bundles","display_name":"Canonical metrics on singular moduli of K3 bundles","publication_year":2026,"publication_date":"2026-11-08","ids":{"openalex":"https://openalex.org/W7225573308","doi":"https://doi.org/10.5281/zenodo.24060227"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24060227","doi":"https://doi.org/10.5281/zenodo.24060227","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24060227","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24060227","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5130796045","display_name":"Bernd Johannes Wuebben","orcid":"https://orcid.org/0009-0002-4588-3284","observed_orcids":["https://orcid.org/0009-0002-4588-3284"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wuebben, Bernd Johannes","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0002-4588-3284","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5130796045"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9688000082969666,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9688000082969666,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.030700000002980232,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.0,"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/moduli-spaces","display_name":"moduli spaces","score":0.8629999756813049},{"id":"https://openalex.org/keywords/semistable-sheaves","display_name":"semistable sheaves","score":0.847000002861023},{"id":"https://openalex.org/keywords/hermitian-einstein-metrics","display_name":"Hermitian-Einstein metrics","score":0.9490000009536743},{"id":"https://openalex.org/keywords/determinant-line-bundle","display_name":"determinant line bundle","score":0.5460000038146973},{"id":"https://openalex.org/keywords/hyperkahler-quotients","display_name":"hyperk\u00e4hler quotients","score":0.7540000081062317},{"id":"https://openalex.org/keywords/symplectic-resolutions","display_name":"symplectic resolutions","score":0.5550000071525574},{"id":"https://openalex.org/keywords/k3-surfaces","display_name":"K3 surfaces","score":0.5070000290870667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9233999848365784},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.7211999893188477},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.698199987411499},{"id":"https://openalex.org/C28903235","wikidata":"https://www.wikidata.org/wiki/Q746550","display_name":"Tangent bundle","level":3,"score":0.6161999702453613},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5600000023841858},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.5468000173568726},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4846999943256378},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.462799996137619},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.4537000060081482},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.4487999975681305},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.41830000281333923},{"id":"https://openalex.org/C66384103","wikidata":"https://www.wikidata.org/wiki/Q2370925","display_name":"Normal bundle","level":3,"score":0.41690000891685486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41670000553131104},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C27602778","wikidata":"https://www.wikidata.org/wiki/Q578874","display_name":"Complex manifold","level":3,"score":0.35839998722076416},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3555000126361847},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.3483000099658966},{"id":"https://openalex.org/C7979169","wikidata":"https://www.wikidata.org/wiki/Q1142143","display_name":"Cotangent bundle","level":3,"score":0.3386000096797943},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C157135747","wikidata":"https://www.wikidata.org/wiki/Q1353916","display_name":"K\u00e4hler manifold","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C59831887","wikidata":"https://www.wikidata.org/wiki/Q7887158","display_name":"Unit tangent bundle","level":4,"score":0.2858000099658966},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C130190758","wikidata":"https://www.wikidata.org/wiki/Q1064500","display_name":"Symplectic manifold","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C191961195","wikidata":"https://www.wikidata.org/wiki/Q5477902","display_name":"Frame bundle","level":4,"score":0.2757999897003174},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.2526000142097473},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.250900000333786},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.25040000677108765},{"id":"https://openalex.org/C44594293","wikidata":"https://www.wikidata.org/wiki/Q1062978","display_name":"Characteristic class","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24060227","doi":"https://doi.org/10.5281/zenodo.24060227","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24060227","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},{"id":"doi:10.5281/zenodo.24060228","doi":"https://doi.org/10.5281/zenodo.24060228","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24060228","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"doi:10.5281/zenodo.24060227","doi":"https://doi.org/10.5281/zenodo.24060227","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24060227","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225456207","https://openalex.org/W7225600463","https://openalex.org/W7225410422","https://openalex.org/W3108400600","https://openalex.org/W2128717464","https://openalex.org/W7225589467","https://openalex.org/W4406460081","https://openalex.org/W7010683966","https://openalex.org/W7110507332","https://openalex.org/W4311058816"],"abstract_inverted_index":{"The":[0,25,110,123],"canonical":[1],"singular":[2,61],"Ricci-flat":[3],"metric":[4,75],"on":[5,33],"a":[6,29,34,41,66,70,143],"class":[7,80],"of":[8,37,95,116],"compact":[9],"K3":[10,35],"bundle":[11],"moduli":[12,108],"spaces":[13,26,58],"admits":[14],"quadratic":[15],"approximation":[16],"by":[17],"its":[18,87,102],"hyperk\u00e4hler":[19,93],"tangent":[20,88],"cones":[21,89],"in":[22,76,118,135],"holomorphic":[23],"coordinates.":[24],"parametrize":[27],"twice":[28],"primitive":[30],"Mukai":[31],"vector":[32],"surface":[36],"Picard":[38],"rank":[39,42],"one;":[40],"bound":[43],"ensures":[44],"that":[45,101],"every":[46,50],"semistable":[47],"sheaf":[48],"and":[49,63,99,142],"slope":[51],"Jordan\u2013H\u00f6lder":[52],"factor":[53],"is":[54,105,112],"locally":[55],"free.":[56],"These":[57],"have":[59],"positive-dimensional":[60],"strata":[62],"admit":[64],"neither":[65],"symplectic":[67],"resolution":[68],"nor":[69],"smoothing.":[71],"We":[72],"identify":[73,86],"the":[74,82,91,96,106],"an":[77],"ample":[78],"determinant":[79],"with":[81,132],"harmonic":[83,136],"L\u00b2":[84],"metric,":[85],"as":[90],"flat":[92],"quotients":[94],"extension":[97],"spaces,":[98],"prove":[100],"regular-locus":[103],"completion":[104],"original":[107],"space.":[109],"comparison":[111],"uniform":[113],"through":[114],"changes":[115],"stabilizer":[117],"each":[119],"fixed":[120],"local":[121,127],"chart.":[122],"proof":[124],"combines":[125],"quantitative":[126],"models":[128],"for":[129],"Hermitian\u2013Einstein":[130],"metrics":[131],"exact":[133],"quadraticity":[134],"Kuranishi":[137],"coordinates,":[138],"continuous":[139],"Weil\u2013Petersson":[140],"potentials,":[141],"determinant-class":[144],"calculation.":[145]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-09T00:00:00"}
