{"id":"https://openalex.org/W4389409003","doi":"https://doi.org/10.1007/s00229-023-01524-0","title":"Zeta function of some Kummer Calabi-Yau 3-folds","display_name":"Zeta function of some Kummer Calabi-Yau 3-folds","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389409003","doi":"https://doi.org/10.1007/s00229-023-01524-0"},"language":"en","primary_location":{"id":"doi:10.1007/s00229-023-01524-0","doi":"https://doi.org/10.1007/s00229-023-01524-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00229-023-01524-0","pdf_url":null,"source":{"id":"https://openalex.org/S40116370","display_name":"manuscripta mathematica","issn_l":"0025-2611","issn":["0025-2611","1432-1785"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"manuscripta mathematica","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00229-023-01524-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015201748","display_name":"Dominik Burek","orcid":"https://orcid.org/0000-0003-2257-2272","observed_orcids":["https://orcid.org/0000-0003-2257-2272"]},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Dominik Burek","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015201748"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.3575,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55285494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"174","issue":"3-4","first_page":"703","last_page":"730"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9926999807357788,"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":0.9926999807357788,"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/T12351","display_name":"Geometry and complex manifolds","score":0.006099999882280827,"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":0.0005000000237487257,"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/zeta-functions","display_name":"zeta functions","score":0.9330000281333923},{"id":"https://openalex.org/keywords/hodge-numbers","display_name":"Hodge numbers","score":0.9990000128746033},{"id":"https://openalex.org/keywords/arithmetic-zeta-functions","display_name":"arithmetic zeta functions","score":0.5049999952316284}],"concepts":[{"id":"https://openalex.org/C158260368","wikidata":"https://www.wikidata.org/wiki/Q549959","display_name":"Calabi\u2013Yau manifold","level":2,"score":0.9162284135818481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7903151512145996},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.7850587368011475},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.6577548384666443},{"id":"https://openalex.org/C35235930","wikidata":"https://www.wikidata.org/wiki/Q187235","display_name":"Riemann zeta function","level":2,"score":0.6571582555770874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6300362348556519},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3907761871814728},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35637491941452026}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00229-023-01524-0","doi":"https://doi.org/10.1007/s00229-023-01524-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00229-023-01524-0","pdf_url":null,"source":{"id":"https://openalex.org/S40116370","display_name":"manuscripta mathematica","issn_l":"0025-2611","issn":["0025-2611","1432-1785"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"manuscripta mathematica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2112.03970","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.03970","pdf_url":"https://arxiv.org/pdf/2112.03970","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":"pmh:oai:ruj.uj.edu.pl:item/459720","doi":null,"is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/handle/item/459720","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00229-023-01524-0.pdf","source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2112.03970","doi":"https://doi.org/10.48550/arxiv.2112.03970","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2112.03970","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00229-023-01524-0","doi":"https://doi.org/10.1007/s00229-023-01524-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00229-023-01524-0","pdf_url":null,"source":{"id":"https://openalex.org/S40116370","display_name":"manuscripta mathematica","issn_l":"0025-2611","issn":["0025-2611","1432-1785"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"manuscripta mathematica","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4481988396","display_name":null,"funder_award_id":"2020/36/T/ST1/00265","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"},{"id":"https://openalex.org/G5336244918","display_name":null,"funder_award_id":"2019/33/N/ST1/01502","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389409003.pdf","grobid_xml":"https://content.openalex.org/works/W4389409003.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W81405111","https://openalex.org/W573059742","https://openalex.org/W1541350594","https://openalex.org/W1942165802","https://openalex.org/W1966390530","https://openalex.org/W1970259072","https://openalex.org/W1992553562","https://openalex.org/W1992659459","https://openalex.org/W2083792745","https://openalex.org/W2090259775","https://openalex.org/W2130552032","https://openalex.org/W2157665758","https://openalex.org/W2589222861","https://openalex.org/W2609472622","https://openalex.org/W2609933059","https://openalex.org/W2898521590","https://openalex.org/W2962816676","https://openalex.org/W2963329668","https://openalex.org/W4394622686","https://openalex.org/W6698104039"],"related_works":["https://openalex.org/W2052283845","https://openalex.org/W4396945252","https://openalex.org/W7100125010","https://openalex.org/W639466114","https://openalex.org/W2963240448","https://openalex.org/W2279621540","https://openalex.org/W2804657832","https://openalex.org/W2951932255","https://openalex.org/W2036211641","https://openalex.org/W4245528381"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"compute":[2],"Hodge":[3],"numbers":[4],"and":[5,17,22],"zeta":[6],"function":[7],"of":[8],"a":[9],"Kummer":[10],"Calabi-Yau":[11],"3-folds":[12],"introduced":[13],"by":[14,24],"M.":[15,25],"Andreatta":[16],"J.":[18],"Wi\u015bniewski":[19],"in":[20,27],"[2]":[21],"investigated":[23],"Donten-Bury":[26],"[13].":[28]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-12-07T00:00:00"}
