{"id":"https://openalex.org/W7214988464","doi":"https://doi.org/10.48550/arxiv.2609.36378","title":"Nonprojective $\\mathscr{M}$-manifolds","display_name":"Nonprojective $\\mathscr{M}$-manifolds","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214988464","doi":"https://doi.org/10.48550/arxiv.2609.36378"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.36378","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36378","pdf_url":"https://arxiv.org/pdf/2609.36378","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/2609.36378","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090056227","display_name":"Blake J. Boudreaux","orcid":"https://orcid.org/0000-0002-0630-7674","observed_orcids":["https://orcid.org/0000-0002-0630-7674"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boudreaux, Blake","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006890900","display_name":"Rasul Shafikov","orcid":"https://orcid.org/0000-0001-8907-4011","observed_orcids":["https://orcid.org/0000-0001-8907-4011"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shafikov, Rasul","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/T12351","display_name":"Geometry and complex manifolds","score":0.9951000213623047,"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":0.9951000213623047,"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":0.004399999976158142,"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/T10884","display_name":"Holomorphic and Operator Theory","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/compact-complex-manifolds","display_name":"compact complex manifolds","score":0.847000002861023},{"id":"https://openalex.org/keywords/complex-projective-manifolds","display_name":"complex projective manifolds","score":0.8849999904632568},{"id":"https://openalex.org/keywords/stein-manifolds","display_name":"Stein manifolds","score":0.9070000052452087},{"id":"https://openalex.org/keywords/counterexample","display_name":"counterexample","score":0.48500001430511475}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6733999848365784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6115000247955322},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5127000212669373},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.46650001406669617},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42809998989105225},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3709999918937683},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.36629998683929443},{"id":"https://openalex.org/C2776020190","wikidata":"https://www.wikidata.org/wiki/Q997453","display_name":"New class","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26159998774528503},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.2387000024318695}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.36378","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36378","pdf_url":"https://arxiv.org/pdf/2609.36378","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.2609.36378","doi":"https://doi.org/10.48550/arxiv.2609.36378","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.36378","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:2609.36378","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36378","pdf_url":"https://arxiv.org/pdf/2609.36378","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/W7214988464.pdf","grobid_xml":"https://content.openalex.org/works/W7214988464.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7103877560"],"related_works":["https://openalex.org/W4238746309","https://openalex.org/W3037967528","https://openalex.org/W4404728743","https://openalex.org/W4234386787","https://openalex.org/W7001114669","https://openalex.org/W7103877560","https://openalex.org/W1527741929","https://openalex.org/W7039840552","https://openalex.org/W2245189639","https://openalex.org/W2952574979"],"abstract_inverted_index":{"In":[0,32],"a":[1,12],"previous":[2],"paper,":[3],"the":[4,40,48],"authors":[5],"introduced,":[6],"by":[7],"analogy":[8],"with":[9],"Stein":[10],"manifolds,":[11],"class":[13,20,41],"of":[14,42,50],"complex":[15,23],"manifolds":[16],"called":[17],"$\\mathscr{M}$-manifolds.":[18],"This":[19],"contains":[21],"all":[22],"projective":[24,51],"manifolds.":[25,54],"Moreover,":[26],"every":[27],"compact":[28,43],"$\\mathscr{M}$-manifold":[29],"is":[30],"Moishezon.":[31],"this":[33],"note,":[34],"we":[35],"construct":[36],"examples":[37],"showing":[38],"that":[39],"$\\mathscr{M}$-manifolds":[44],"sits":[45],"properly":[46],"between":[47],"classes":[49],"and":[52],"Moishezon":[53]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}
