{"id":"https://openalex.org/W3013539543","doi":"https://doi.org/10.1090/mcom/4115","title":"Integral differential forms for superelliptic curves","display_name":"Integral differential forms for superelliptic curves","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W3013539543","doi":"https://doi.org/10.1090/mcom/4115","mag":"3013539543"},"language":"lv","primary_location":{"id":"doi:10.1090/mcom/4115","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4115","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.12357.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082312245","display_name":"Sabrina Kunzweiler","orcid":"https://orcid.org/0000-0002-6179-2094"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sabrina Kunzweiler","raw_affiliation_strings":["Inria, IMB, Universit\u00e9 de Bordeaux, 351, cours de la Lib\u00e9ration, 33405 Talence, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, IMB, Universit\u00e9 de Bordeaux, 351, cours de la Lib\u00e9ration, 33405 Talence, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210166017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007006962","display_name":"Stefan Wewers","orcid":null},"institutions":[{"id":"https://openalex.org/I4210129763","display_name":"Helmholtz-Institute Ulm","ror":"https://ror.org/034rhsb33","country_code":"DE","type":"government","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414","https://openalex.org/I1305996414","https://openalex.org/I4210129763"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Wewers","raw_affiliation_strings":["Institut f\u00fcr Algebra und Zahlentheorie, Universit\u00e4t Ulm, Helmholtzstr. 18, 89081 Ulm, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra und Zahlentheorie, Universit\u00e4t Ulm, Helmholtzstr. 18, 89081 Ulm, Germany","institution_ids":["https://openalex.org/I4210129763"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00274123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"95","issue":"361","first_page":"2559","last_page":"2593"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9976999759674072,"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/differential","display_name":"Differential (mechanical device)","score":0.591211199760437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44813498854637146},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2881544232368469},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06808960437774658}],"concepts":[{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.591211199760437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44813498854637146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2881544232368469},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06808960437774658}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/mcom/4115","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4115","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"mag:3013539543","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2003.12357.pdf","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,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-05329838v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05329838","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Computation, 2025, ⟨10.1090/mcom/4115⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"mag:3013539543","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2003.12357.pdf","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,"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1492806110","https://openalex.org/W1549562143","https://openalex.org/W1976677460","https://openalex.org/W1992593698","https://openalex.org/W2001924110","https://openalex.org/W2043679117","https://openalex.org/W2073214093","https://openalex.org/W2078699746","https://openalex.org/W2104176427","https://openalex.org/W2142783875","https://openalex.org/W2146359861","https://openalex.org/W2549173254","https://openalex.org/W2753205722","https://openalex.org/W2803448955","https://openalex.org/W2809923013","https://openalex.org/W2915447435","https://openalex.org/W2963458632","https://openalex.org/W2964297629","https://openalex.org/W2978838828","https://openalex.org/W2993107853","https://openalex.org/W3009876788","https://openalex.org/W3012093748","https://openalex.org/W3043238408","https://openalex.org/W3105270016","https://openalex.org/W3163616609","https://openalex.org/W3188653121","https://openalex.org/W4206886479","https://openalex.org/W4213128975","https://openalex.org/W4237508820","https://openalex.org/W4241831409","https://openalex.org/W4249589706","https://openalex.org/W4295815601"],"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":{"Given":[0],"a":[1,17,32],"superelliptic":[2],"curve":[3],"Y":[4,48,96],"K":[5,20,21,39,49,91,97],":":[6],"y":[7],"n":[8],"=":[9],"f":[10],"(":[11],"x":[12],")":[13],"Y_K:\\;":[14],"y^n=f(x)":[15],"over":[16],"local":[18],"field":[19],",":[22],"we":[23,87],"describe":[24,69],"the":[25,37,55,74],"theoretical":[26],"background":[27],"and":[28,59],"an":[29,89],"implementation":[30],"of":[31,43,57,73,82,95],"new":[33],"algorithm":[34],"for":[35],"computing":[36],"o":[38,90],"\\mathfrak":[40,92],"{o}_K":[41,93],"-lattice":[42],"integral":[44],"differential":[45],"forms":[46],"on":[47,54],"Y_K":[50,98],".":[51],"We":[52],"build":[53],"results":[56],"Obus":[58],"Wewers":[60],"[J.":[61],"Algebraic":[62],"Geom.":[63],"29":[64],"(2020),":[65],"pp.":[66],"691\u2013728]":[67],"who":[68],"arbitrary":[70],"regular":[71],"models":[72],"projective":[75],"line":[76],"using":[77],"only":[78,100],"valuations.":[79],"One":[80],"novelty":[81],"our":[83],"approach":[84],"is":[85],"that":[86],"construct":[88],"-model":[94],"with":[99],"rational":[101],"singularities,":[102],"but":[103],"which":[104],"may":[105],"not":[106],"be":[107],"regular.":[108]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}