{"id":"https://openalex.org/W7225600463","doi":"https://doi.org/10.5281/zenodo.24046091","title":"Exceptional cycles and harmonic metrics in K3 bundle moduli","display_name":"Exceptional cycles and harmonic metrics in K3 bundle moduli","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225600463","doi":"https://doi.org/10.5281/zenodo.24046091"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24046091","doi":"https://doi.org/10.5281/zenodo.24046091","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046091","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.24046091","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":1,"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":0.5015000104904175,"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":0.5015000104904175,"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":0.4887999892234802,"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":0.003700000001117587,"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-of-vector-bundles","display_name":"moduli of vector bundles","score":0.7400000095367432},{"id":"https://openalex.org/keywords/harmonic-metrics","display_name":"harmonic metrics","score":0.8180000185966492},{"id":"https://openalex.org/keywords/l2-metric","display_name":"L2 metric","score":0.6650000214576721},{"id":"https://openalex.org/keywords/intersection-matrix","display_name":"intersection matrix","score":0.6330000162124634},{"id":"https://openalex.org/keywords/gromov-hausdorff-convergence","display_name":"Gromov-Hausdorff convergence","score":0.800000011920929},{"id":"https://openalex.org/keywords/boundary-analysis","display_name":"boundary analysis","score":0.5299999713897705}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8381999731063843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6287999749183655},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5710999965667725},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5321000218391418},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5152000188827515},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.4244999885559082},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.4242999851703644},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.41679999232292175},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.3986000120639801},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.36230000853538513},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3499999940395355},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.3379000127315521},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32580000162124634},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32510000467300415},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.3174000084400177},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.3070000112056732},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C54486226","wikidata":"https://www.wikidata.org/wiki/Q493941","display_name":"Fibration","level":3,"score":0.2953000068664551},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.29490000009536743},{"id":"https://openalex.org/C53688716","wikidata":"https://www.wikidata.org/wiki/Q5659270","display_name":"Harmonic measure","level":3,"score":0.28839999437332153},{"id":"https://openalex.org/C2781228216","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Compact Riemann surface","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.2757999897003174},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.2757999897003174},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C106142965","wikidata":"https://www.wikidata.org/wiki/Q1969721","display_name":"K3 surface","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.25760000944137573},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.2554999887943268}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24046091","doi":"https://doi.org/10.5281/zenodo.24046091","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046091","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.24046092","doi":"https://doi.org/10.5281/zenodo.24046092","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046092","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.24047888","doi":"https://doi.org/10.5281/zenodo.24047888","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24047888","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.24046091","doi":"https://doi.org/10.5281/zenodo.24046091","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046091","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225456207","https://openalex.org/W7225589467","https://openalex.org/W7225573308","https://openalex.org/W7225410422","https://openalex.org/W4417457139","https://openalex.org/W2962805624","https://openalex.org/W7096611625","https://openalex.org/W7225589807","https://openalex.org/W1969550925","https://openalex.org/W4232766234"],"abstract_inverted_index":{"We":[0,44],"construct":[1],"compact":[2,151],"moduli":[3],"fourfolds":[4],"of":[5,40,65,68,154],"bundles":[6],"on":[7,88,123,137],"a":[8,15,23,27,36,66,161],"K3":[9],"surface":[10,17,51],"whose":[11],"common":[12,146],"contraction":[13,175],"has":[14],"singular":[16],"and":[18,50,53,101,103,169],"one":[19,34],"deeper":[20],"point.":[21],"In":[22],"specified":[24],"stability":[25,112],"chamber,":[26],"moving":[28],"projective":[29],"line":[30,37],"specializes":[31],"with":[32,165],"multiplicity":[33],"to":[35,62,132,144],"in":[38,128],"each":[39],"two":[41,110],"Lagrangian":[42],"planes.":[43],"identify":[45],"the":[46,60,63,69,84,109,124,133,145,150,155,177],"primitive":[47],"integral":[48,80],"curve":[49],"classes":[52],"calculate":[54],"their":[55,78],"intersection":[56],"matrix.":[57],"Restriction":[58],"from":[59],"complement":[61],"boundary":[64,163],"neighborhood":[67],"planes":[70],"gives":[71],"an":[72],"explicit":[73],"congruence":[74,179],"modulo":[75,180],"eight":[76],"determining":[77],"degree-four":[79],"cohomological":[81],"gluing.":[82],"For":[83],"natural":[85],"L\u00b2":[86],"metric":[87,136,142],"moduli,":[89],"defined":[90],"by":[91],"harmonic":[92,141,171],"deformation":[93],"representatives,":[94],"these":[95],"same":[96],"cycles":[97],"have":[98],"exact":[99],"areas":[100],"volumes":[102],"ambient":[104],"diameter":[105],"estimates":[106],"uniform":[107],"as":[108],"positive":[111],"parameters":[113],"vanish":[114],"at":[115],"unrelated":[116],"rates.":[117],"At":[118],"separated":[119],"scales,":[120],"rescalings":[121],"based":[122],"smaller":[125],"plane":[126],"converge":[127],"pointed":[129],"Gromov\u2013Hausdorff":[130,152],"topology":[131],"complete":[134,162],"Calabi":[135],"T*\u2119\u00b2.":[138],"The":[139,158],"central":[140],"completes":[143],"contraction,":[147],"which":[148],"is":[149],"limit":[153],"chamber":[156],"spaces.":[157],"proof":[159],"combines":[160],"analysis":[164],"convergent":[166],"symplectic":[167],"coordinates":[168],"relative":[170],"estimates.":[172],"An":[173],"isolated-plane":[174],"provides":[176],"corresponding":[178],"three.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-09T00:00:00"}