{"id":"https://openalex.org/W7225630379","doi":"https://doi.org/10.5281/zenodo.24073218","title":"Maximal Period Variation in an Explicit Eighteen-Branch G\u2083\u2084 Paired-Cover Family","display_name":"Maximal Period Variation in an Explicit Eighteen-Branch G\u2083\u2084 Paired-Cover Family","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225630379","doi":"https://doi.org/10.5281/zenodo.24073218"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24073218","doi":"https://doi.org/10.5281/zenodo.24073218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24073218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24073218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160631401","display_name":"Miyoboku Sage","orcid":"https://orcid.org/0009-0009-2632-8411","observed_orcids":["https://orcid.org/0009-0009-2632-8411"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sage, Miyoboku","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160631401"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0020000000949949026,"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/T12351","display_name":"Geometry and complex manifolds","score":0.00019999999494757503,"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/period-map","display_name":"period map","score":0.8960000276565552},{"id":"https://openalex.org/keywords/period-domains","display_name":"period domains","score":0.7379999756813049},{"id":"https://openalex.org/keywords/finite-reflection-groups","display_name":"finite reflection groups","score":0.718999981880188},{"id":"https://openalex.org/keywords/primitive-cohomology","display_name":"primitive cohomology","score":0.9559999704360962},{"id":"https://openalex.org/keywords/hermitian-forms","display_name":"Hermitian forms","score":0.9200000166893005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7111999988555908},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.6962000131607056},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5939000248908997},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5730000138282776},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.4535999894142151},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4296000003814697},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4004000127315521},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3693000078201294},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30979999899864197},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.30379998683929443},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C2778753569","wikidata":"https://www.wikidata.org/wiki/Q1960395","display_name":"Span (engineering)","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2662000060081482},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.257999986410141},{"id":"https://openalex.org/C146783285","wikidata":"https://www.wikidata.org/wiki/Q3236862","display_name":"Hermitian function","level":3,"score":0.25589999556541443},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24073218","doi":"https://doi.org/10.5281/zenodo.24073218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24073218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.24073219","doi":"https://doi.org/10.5281/zenodo.24073219","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24073219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.24102007","doi":"https://doi.org/10.5281/zenodo.24102007","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24102007","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24073218","doi":"https://doi.org/10.5281/zenodo.24073218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24073218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225655825","https://openalex.org/W7225457922","https://openalex.org/W3017893188","https://openalex.org/W2074511916","https://openalex.org/W2963681902","https://openalex.org/W273276914","https://openalex.org/W6945720080","https://openalex.org/W2795161756","https://openalex.org/W6988694418","https://openalex.org/W7222469434"],"abstract_inverted_index":{"We":[0],"construct":[1],"an":[2,23,75],"explicit":[3,76],"eighteen-branch":[4],"G\u2083\u2084":[5],"paired-cover":[6],"family":[7],"and":[8,32,74,101,109,114,119],"study":[9],"the":[10,38,44,52,56,91,99,111,127],"associated":[11],"polarized":[12,102],"abelian":[13],"sixfolds":[14],"of":[15,37,79,94],"Weil":[16],"type":[17],"over":[18],"K":[19],"=":[20],"\u211a(\u221a\u22123).":[21],"Using":[22],"admissible-cover":[24],"degeneration":[25],"with":[26],"nine":[27],"nodes,":[28],"exact":[29],"graph-incidence":[30],"calculations,":[31,71],"a":[33],"common":[34],"geometric":[35,92],"identification":[36],"Picard\u2013Lefschetz":[39,103],"monodromy,":[40],"we":[41],"establish":[42],"that":[43],"period":[45,59,96],"map":[46],"has":[47,148,154],"generic":[48],"complex":[49],"rank":[50],"nine,":[51],"maximum":[53],"permitted":[54],"by":[55],"corresponding":[57],"Weil-type":[58],"domain.":[60],"The":[61,116,136,146],"proof":[62,93],"combines":[63],"finite":[64],"reflection-group":[65],"computations,":[66],"primitive":[67],"cohomology,":[68],"Fox":[69],"monodromy":[70],"polarization":[72],"identities,":[73],"nine-dimensional":[77],"span":[78],"Hermitian":[80],"forms.":[81],"Version":[82],"1.4":[83],"(10":[84],"November":[85],"2026):":[86],"This":[87,124],"revised":[88],"manuscript":[89,147],"expands":[90],"maximal":[95],"variation,":[97],"clarifies":[98],"cohomological":[100],"comparisons,":[104],"corrects":[105],"computational":[106],"verification":[107],"procedures,":[108],"improves":[110],"exposition,":[112],"bibliography,":[113],"attribution.":[115],"main":[117],"theorem":[118],"its":[120,133],"scope":[121],"remain":[122],"unchanged.":[123],"revision":[125],"supersedes":[126],"original":[128],"v0.12":[129],"preprint":[130],"while":[131],"preserving":[132],"publication":[134],"history.":[135],"full":[137],"research":[138],"archive":[139],"is":[140],"not":[141,155],"included":[142],"in":[143],"this":[144],"deposit.":[145],"undergone":[149],"AI-assisted":[150],"mathematical":[151],"review":[152],"but":[153],"been":[156],"formally":[157],"peer":[158],"reviewed.":[159]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}
