{"id":"https://openalex.org/W4406485151","doi":"https://doi.org/10.48550/arxiv.2501.08813","title":"Odd vanishing cycles in cyclotomic fields","display_name":"Odd vanishing cycles in cyclotomic fields","publication_year":2025,"publication_date":"2025-01-15","ids":{"openalex":"https://openalex.org/W4406485151","doi":"https://doi.org/10.48550/arxiv.2501.08813"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2501.08813","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.08813","pdf_url":"https://arxiv.org/pdf/2501.08813","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","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/2501.08813","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083694613","display_name":"Claus Hertling","orcid":"https://orcid.org/0000-0001-6970-7328","observed_orcids":["https://orcid.org/0000-0001-6970-7328"]},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hertling, Claus","raw_affiliation_strings":["Lehrstuhl f\u00fcr algebraische Geometrie , Universit\u00e4t Mannheim , B6 26 , 68159 Mannheim , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr algebraische Geometrie , Universit\u00e4t Mannheim , B6 26 , 68159 Mannheim , Germany","institution_ids":["https://openalex.org/I177802217"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115637677","display_name":"Khadija Larabi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Larabi, Khadija","raw_affiliation_strings":["Lehrstuhl f\u00fcr algebraische Geometrie , Universit\u00e4t Mannheim , B6 26 , 68159 Mannheim , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr algebraische Geometrie , Universit\u00e4t Mannheim , B6 26 , 68159 Mannheim , Germany","institution_ids":["https://openalex.org/I177802217"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177802217"],"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.006000000052154064,"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":0.0031999999191612005,"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/cyclotomic-fields","display_name":"cyclotomic fields","score":0.9789999723434448},{"id":"https://openalex.org/keywords/hecke-groups","display_name":"Hecke groups","score":0.968999981880188},{"id":"https://openalex.org/keywords/cusps","display_name":"cusps","score":0.8999999761581421},{"id":"https://openalex.org/keywords/monodromy-groups","display_name":"monodromy groups","score":0.9449999928474426},{"id":"https://openalex.org/keywords/coxeter-groups","display_name":"Coxeter groups","score":0.7789999842643738},{"id":"https://openalex.org/keywords/dihedral-groups","display_name":"dihedral groups","score":0.953000009059906},{"id":"https://openalex.org/keywords/ring-of-integers","display_name":"ring of integers","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42122769355773926}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2501.08813","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.08813","pdf_url":"https://arxiv.org/pdf/2501.08813","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2501.08813","doi":"https://doi.org/10.48550/arxiv.2501.08813","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2501.08813","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:2501.08813","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.08813","pdf_url":"https://arxiv.org/pdf/2501.08813","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","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/W4406485151.pdf","grobid_xml":"https://content.openalex.org/works/W4406485151.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"A":[0],"cusp":[1],"of":[2,14,16,30,38,41,53,57,75,82],"a":[3,17,35,54,68,76,83,89,93],"Hecke":[4,60],"group":[5,70],"$G_q$":[6],"has":[7,88],"two":[8,49],"natural":[9],"lifts":[10,21,29],"to":[11],"the":[12,58],"ring":[13],"integers":[15],"cyclotomic":[18],"field.":[19],"These":[20],"are":[22],"called":[23],"here":[24],"odd":[25],"vanishing":[26],"cycles.":[27],"All":[28],"all":[31],"cusps":[32],"together":[33],"form":[34,46],"discrete":[36],"subset":[37],"${\\mathbb":[39],"C}$":[40],"some":[42],"exquisite":[43],"beauty.":[44],"They":[45],"one":[47],"or":[48,50],"four":[51],"orbits":[52],"certain":[55],"subgroup":[56,63],"matrix":[59],"group.":[61,85],"The":[62,86],"can":[64],"be":[65],"considered":[66],"as":[67],"monodromy":[69],"and":[71,92],"is":[72],"an":[73],"analog":[74],"rank":[77],"2":[78],"Coxeter":[79],"group,":[80],"so":[81],"dihedral":[84],"paper":[87],"research":[90],"part":[91],"larger":[94],"survey":[95],"part.":[96]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2025-10-10T00:00:00"}