{"id":"https://openalex.org/W7169584124","doi":"https://doi.org/10.48550/arxiv.2607.14858","title":"A remark on Bogomolov type vanishing theorem","display_name":"A remark on Bogomolov type vanishing theorem","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7169584124","doi":"https://doi.org/10.48550/arxiv.2607.14858"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2607.14858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.14858","pdf_url":"https://arxiv.org/pdf/2607.14858","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/2607.14858","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005455572","display_name":"Xiankui Meng","orcid":"https://orcid.org/0009-0003-1694-6458","observed_orcids":["https://orcid.org/0009-0003-1694-6458"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meng, Xiankui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009165759","display_name":"Chu Qing","orcid":"https://orcid.org/0009-0001-5234-2614","observed_orcids":["https://orcid.org/0009-0001-5234-2614"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qing, Chenghao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113903386","display_name":"X J Zhou","orcid":"https://orcid.org/0000-0001-7283-1100","observed_orcids":["https://orcid.org/0000-0001-7283-1100","https://orcid.org/0000-0002-0299-4657","https://orcid.org/0000-0002-4713-3594","https://orcid.org/0000-0002-7671-7644","https://orcid.org/0000-0002-8678-906X","https://orcid.org/0000-0003-2035-3391","https://orcid.org/0009-0003-0204-1471","https://orcid.org/0009-0005-5496-5558","https://orcid.org/0009-0009-6506-4885"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Xiangyu","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":2,"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":0.9663000106811523,"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":0.9663000106811523,"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/T12351","display_name":"Geometry and complex manifolds","score":0.031300000846385956,"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":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kawamata-viehweg-vanishing-theorem","display_name":"Kawamata-Viehweg vanishing theorem","score":0.8939999938011169},{"id":"https://openalex.org/keywords/vanishing-theorems","display_name":"vanishing theorems","score":0.9079999923706055},{"id":"https://openalex.org/keywords/positive-line-bundles","display_name":"positive line bundles","score":0.4410000145435333},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"algebraic geometry","score":0.597000002861023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8181999921798706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5856000185012817},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5633999705314636},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5458999872207642},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5368000268936157},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4740000069141388},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3353999853134155},{"id":"https://openalex.org/C62139920","wikidata":"https://www.wikidata.org/wiki/Q3554818","display_name":"Projective variety","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32350000739097595},{"id":"https://openalex.org/C180375552","wikidata":"https://www.wikidata.org/wiki/Q2635326","display_name":"Structured program theorem","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C27602778","wikidata":"https://www.wikidata.org/wiki/Q578874","display_name":"Complex manifold","level":3,"score":0.3034000098705292},{"id":"https://openalex.org/C99404194","wikidata":"https://www.wikidata.org/wiki/Q163362","display_name":"Vanishing point","level":3,"score":0.3001999855041504},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.2612999975681305}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2607.14858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.14858","pdf_url":"https://arxiv.org/pdf/2607.14858","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.2607.14858","doi":"https://doi.org/10.48550/arxiv.2607.14858","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.14858","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:2607.14858","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.14858","pdf_url":"https://arxiv.org/pdf/2607.14858","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":[{"id":"https://openalex.org/G1603846912","display_name":null,"funder_award_id":"2021YFA1003100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1619250707","display_name":null,"funder_award_id":"12271057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3055281824","display_name":null,"funder_award_id":"2021YFA1002600","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G558169909","display_name":null,"funder_award_id":"12288201","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8533620077","display_name":null,"funder_award_id":"12288201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8810624541","display_name":null,"funder_award_id":"2021YFA1003100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7169584124.pdf","grobid_xml":"https://content.openalex.org/works/W7169584124.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W3108690734","https://openalex.org/W7130027738"],"related_works":["https://openalex.org/W3108690734","https://openalex.org/W1672194026","https://openalex.org/W1972072848","https://openalex.org/W7207743231","https://openalex.org/W7130027738","https://openalex.org/W4411629555","https://openalex.org/W2920908579","https://openalex.org/W4400678385","https://openalex.org/W3108193599","https://openalex.org/W1973697541"],"abstract_inverted_index":{"Several":[0],"vanishing":[1,28,35,57],"theorems":[2],"for":[3,43,59],"pseudo-effective":[4],"line":[5],"bundles":[6],"are":[7,47],"presented.":[8],"All":[9],"related":[10],"results":[11],"in":[12,23],"the":[13,26,55],"present":[14],"note":[15],"can":[16],"be":[17],"derived":[18],"from":[19,25],"already":[20],"known":[21],"theorems,":[22],"particular":[24],"Steenbrink":[27],"theorem":[29],"and":[30,63],"Boucksom's":[31],"generalization":[32],"of":[33,54,61],"Bogomolov's":[34],"theorem.":[36],"No":[37],"originality":[38],"or":[39],"priority":[40],"is":[41],"claimed":[42],"these":[44],"statements;":[45],"they":[46],"listed":[48],"here":[49],"merely":[50],"as":[51],"conjugate":[52],"forms":[53],"Kawamata--Viehweg":[56],"theorem,":[58],"convenience":[60],"reference":[62],"comparison":[64],"with":[65],"existing":[66],"literature.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-07-18T00:00:00"}
