{"id":"https://openalex.org/W7214014577","doi":"https://doi.org/10.14760/owp-2026-06","title":"On Wall-Crossing Invariant Combinations of Welschinger Numbers for Rational Surfaces with a Conic Bundle","display_name":"On Wall-Crossing Invariant Combinations of Welschinger Numbers for Rational Surfaces with a Conic Bundle","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214014577","doi":"https://doi.org/10.14760/owp-2026-06"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.02445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02445","pdf_url":"https://arxiv.org/pdf/2610.02445","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/2610.02445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015649415","display_name":"Sergey Finashin","orcid":"https://orcid.org/0000-0003-3724-1556","observed_orcids":["https://orcid.org/0000-0003-3724-1556"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Finashin, Sergey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103142935","display_name":"Viatcheslav Mikhailovich Kharlamov","orcid":"https://orcid.org/0000-0001-9341-1391","observed_orcids":["https://orcid.org/0000-0001-9341-1391"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kharlamov, Viatcheslav","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":0.9970999956130981,"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":0.9970999956130981,"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":0.0017000000225380063,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/real-enumerative-geometry","display_name":"real enumerative geometry","score":0.8009999990463257},{"id":"https://openalex.org/keywords/rational-surfaces","display_name":"rational surfaces","score":0.9430000185966492},{"id":"https://openalex.org/keywords/conic-bundles","display_name":"conic bundles","score":0.9470000267028809},{"id":"https://openalex.org/keywords/p-i-n-structure","display_name":"p-i-n structure","score":0.8420000076293945},{"id":"https://openalex.org/keywords/real-algebraic-geometry","display_name":"real algebraic geometry","score":0.6380000114440918},{"id":"https://openalex.org/keywords/del-pezzo-surfaces","display_name":"del Pezzo surfaces","score":0.9100000262260437},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.7390000224113464}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9171000123023987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8051000237464905},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.7131999731063843},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6340000033378601},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5390999913215637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3612000048160553},{"id":"https://openalex.org/C207789664","wikidata":"https://www.wikidata.org/wiki/Q1547297","display_name":"Gromov\u2013Witten invariant","level":5,"score":0.34779998660087585},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C96881808","wikidata":"https://www.wikidata.org/wiki/Q1879333","display_name":"Birational geometry","level":2,"score":0.30149999260902405},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2904999852180481},{"id":"https://openalex.org/C2777979628","wikidata":"https://www.wikidata.org/wiki/Q208756","display_name":"Rational surface","level":3,"score":0.2883000075817108},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C66384103","wikidata":"https://www.wikidata.org/wiki/Q2370925","display_name":"Normal bundle","level":3,"score":0.2587999999523163},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2610.02445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02445","pdf_url":"https://arxiv.org/pdf/2610.02445","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.2610.02445","doi":"https://doi.org/10.48550/arxiv.2610.02445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.02445","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"},{"id":"doi:10.14760/owp-2026-06","doi":"https://doi.org/10.14760/owp-2026-06","is_oa":true,"landing_page_url":"https://doi.org/10.14760/owp-2026-06","pdf_url":null,"source":{"id":"https://openalex.org/S7407052959","display_name":"Mathematisches Forschungsinstitut Oberwolfach","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2802549531","host_organization_name":"Mathematical Research Institute of Oberwolfach","host_organization_lineage":["https://openalex.org/I2802549531"],"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.02445","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02445","pdf_url":"https://arxiv.org/pdf/2610.02445","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/W7214014577.pdf","grobid_xml":"https://content.openalex.org/works/W7214014577.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W293713260","https://openalex.org/W1778566793","https://openalex.org/W4377022852"],"related_works":["https://openalex.org/W1879713629","https://openalex.org/W1577350645","https://openalex.org/W1698968991","https://openalex.org/W2149553760","https://openalex.org/W4377022852","https://openalex.org/W2950176127","https://openalex.org/W2057332242","https://openalex.org/W3134801212","https://openalex.org/W1991958729","https://openalex.org/W2328277970"],"abstract_inverted_index":{"We":[0,45],"refine":[1],"the":[2,10,48],"real":[3,11],"enumerative":[4],"invariants":[5,26,50],"insensitive":[6],"to":[7,27],"changes":[8],"in":[9,14],"structure":[12],"introduced":[13],"our":[15],"previous":[16],"paper":[17],"on":[18],"del":[19],"Pezzo":[20],"surfaces,":[21],"and":[22,57],"extend":[23],"these":[24,54],"refined":[25],"arbitrary":[28],"rational":[29],"surfaces.":[30],"The":[31],"construction":[32],"involves":[33],"a":[34,43],"choice":[35],"of":[36,53],"an":[37],"auxiliary":[38,55],"conic":[39],"bundle":[40],"together":[41],"with":[42],"Pin-structure.":[44],"prove":[46],"that":[47],"resulting":[49],"are":[51],"independent":[52],"choices":[56],"establish":[58],"recursive":[59],"relations":[60],"for":[61],"their":[62],"computation.":[63]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-23T00:00:00"}