{"id":"https://openalex.org/W7225294017","doi":"https://doi.org/10.48550/arxiv.2611.05672","title":"A motivic Vojta inequality for non-CM elliptic curves with unbounded height","display_name":"A motivic Vojta inequality for non-CM elliptic curves with unbounded height","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225294017","doi":"https://doi.org/10.48550/arxiv.2611.05672"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2611.05672","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.05672","pdf_url":"https://arxiv.org/pdf/2611.05672","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/2611.05672","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031107312","display_name":"Daiki Kawabe","orcid":"https://orcid.org/0000-0003-2766-7115","observed_orcids":["https://orcid.org/0000-0003-2766-7115"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kawabe, Daiki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5031107312"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.9907000064849854,"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":0.9907000064849854,"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":0.006300000008195639,"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/T11166","display_name":"Analytic Number Theory Research","score":0.0007999999797903001,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/non-cm-elliptic-curves","display_name":"non-CM elliptic curves","score":0.9760000109672546},{"id":"https://openalex.org/keywords/j-invariant","display_name":"j-invariant","score":0.7749999761581421},{"id":"https://openalex.org/keywords/ramification","display_name":"ramification","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8837000131607056},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.6132000088691711},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5564000010490417},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4575999975204468},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4571000039577484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3799999952316284},{"id":"https://openalex.org/C81265862","wikidata":"https://www.wikidata.org/wiki/Q225527","display_name":"Ramification","level":2,"score":0.3440000116825104},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.31929999589920044},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.29159998893737793},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26190000772476196},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26109999418258667}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2611.05672","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.05672","pdf_url":"https://arxiv.org/pdf/2611.05672","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.2611.05672","doi":"https://doi.org/10.48550/arxiv.2611.05672","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.05672","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:2611.05672","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.05672","pdf_url":"https://arxiv.org/pdf/2611.05672","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1973147711","https://openalex.org/W2066573152","https://openalex.org/W2022516064","https://openalex.org/W2046211277","https://openalex.org/W2274452978","https://openalex.org/W2081663816","https://openalex.org/W7166715604","https://openalex.org/W2896674099","https://openalex.org/W4416766043","https://openalex.org/W1555943161"],"abstract_inverted_index":{"We":[0,20],"study":[1],"a":[2,6,16],"bounded-degree":[3],"form":[4],"of":[5,18,44],"motivic":[7],"Vojta":[8],"inequality":[9,23],"for":[10,24],"pure":[11],"Andr\u00e9":[12],"motives,":[13],"arising":[14],"from":[15],"question":[17],"Kato.":[19],"verify":[21],"this":[22],"infinitely":[25],"many":[26],"non-CM":[27],"elliptic":[28],"curves":[29],"with":[30],"unbounded":[31],"stable":[32],"Faltings":[33],"height.":[34],"The":[35],"point":[36],"is":[37],"that":[38],"ramification":[39],"at":[40],"the":[41,45,48],"finite":[42],"poles":[43],"$j$-invariant":[46],"gives":[47],"required":[49],"discriminant":[50],"bound.":[51]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-06T00:00:00"}
