{"id":"https://openalex.org/W7204136198","doi":"https://doi.org/10.48550/arxiv.2608.21301","title":"Hyperelliptic Brill-Noether loci","display_name":"Hyperelliptic Brill-Noether loci","publication_year":2026,"publication_date":"2026-08-21","ids":{"openalex":"https://openalex.org/W7204136198","doi":"https://doi.org/10.48550/arxiv.2608.21301"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2608.21301","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21301","pdf_url":"https://arxiv.org/pdf/2608.21301","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.21301","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045602601","display_name":"Nero Budur","orcid":"https://orcid.org/0000-0002-0181-9988","observed_orcids":["https://orcid.org/0000-0002-0181-9988"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]},{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE","CN"],"is_corresponding":false,"raw_author_name":"Budur, Nero","raw_affiliation_strings":["Department of Mathematics , KU Leuven , Celestijnenlaan 200B , 3001 Leuven , Belgium ;","YMSC , Tsinghua University , 100084 Beijing , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , KU Leuven , Celestijnenlaan 200B , 3001 Leuven , Belgium ;","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"YMSC , Tsinghua University , 100084 Beijing , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061375948","display_name":"An Khuong Doan","orcid":"https://orcid.org/0000-0002-0565-6549","observed_orcids":["https://orcid.org/0000-0002-0565-6549"]},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE","CN"],"is_corresponding":false,"raw_author_name":"Doan, An-Khuong","raw_affiliation_strings":["Department of Mathematics , KU Leuven , Celestijnenlaan 200B , 3001 Leuven , Belgium ;","Institute for Advanced Studies in Mathematics , Harbin Institute of Technology , Harbin , China 150001"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , KU Leuven , Celestijnenlaan 200B , 3001 Leuven , Belgium ;","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Institute for Advanced Studies in Mathematics , Harbin Institute of Technology , Harbin , China 150001","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"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":0.9976000189781189,"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":0.9976000189781189,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.0017000000225380063,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":9.999999747378752e-05,"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/hyperelliptic-curves","display_name":"hyperelliptic curves","score":0.8790000081062317},{"id":"https://openalex.org/keywords/brill-noether-locus","display_name":"Brill-Noether loci","score":0.9929999709129333},{"id":"https://openalex.org/keywords/determinantal-varieties","display_name":"determinantal varieties","score":0.9909999966621399}],"concepts":[{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.38109999895095825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3806000053882599},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3449000120162964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2978000044822693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2752000093460083},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2231999933719635},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.22269999980926514},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.21860000491142273},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.21410000324249268}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.21301","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21301","pdf_url":"https://arxiv.org/pdf/2608.21301","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.2608.21301","doi":"https://doi.org/10.48550/arxiv.2608.21301","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.21301","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.21301","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21301","pdf_url":"https://arxiv.org/pdf/2608.21301","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204136198.pdf","grobid_xml":"https://content.openalex.org/works/W7204136198.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Hyperelliptic":[0],"theta":[1],"divisors,":[2],"and":[3,23],"more":[4],"generally,":[5],"Brill-Noether":[6],"loci,":[7],"are":[8],"shown":[9],"to":[10],"be":[11],"locally":[12],"catalecticant":[13],"determinantal":[14],"varieties.":[15],"This":[16],"has":[17],"many":[18],"consequences":[19],"for":[20],"their":[21],"local":[22],"global":[24],"structure.":[25]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2026-08-25T00:00:00"}