{"id":"https://openalex.org/W2050274851","doi":"https://doi.org/10.1007/bf01195534","title":"Weil bounds for singular curves","display_name":"Weil bounds for singular curves","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W2050274851","doi":"https://doi.org/10.1007/bf01195534","mag":"2050274851"},"language":"en","primary_location":{"id":"doi:10.1007/bf01195534","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01195534","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057710320","display_name":"Eric Bach","orcid":"https://orcid.org/0000-0001-6200-5462"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric Bach","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, 53706, Madison, Wisconsin, USA","Computer Sciences Department University of Wisconsin\u00bfMadison, USA"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, 53706, Madison, Wisconsin, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Computer Sciences Department University of Wisconsin\u00bfMadison, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057710320"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5094,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.628102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"4","first_page":"289","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9983000159263611,"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":0.9983000159263611,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9786999821662903,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7442571520805359},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7251516580581665},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7114397287368774},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4909720718860626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.470816433429718},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4596608877182007},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41837990283966064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3681854009628296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.136055588722229}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7442571520805359},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7251516580581665},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7114397287368774},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4909720718860626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.470816433429718},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4596608877182007},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41837990283966064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3681854009628296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.136055588722229},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01195534","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01195534","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":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/W71760861","https://openalex.org/W656708819","https://openalex.org/W1486338020","https://openalex.org/W1489774662","https://openalex.org/W1521050514","https://openalex.org/W1540526006","https://openalex.org/W1545408865","https://openalex.org/W1931868030","https://openalex.org/W1971815967","https://openalex.org/W1985217658","https://openalex.org/W1990541908","https://openalex.org/W1991444794","https://openalex.org/W1997502503","https://openalex.org/W1998067413","https://openalex.org/W2002596011","https://openalex.org/W2020956185","https://openalex.org/W2055662394","https://openalex.org/W2059212000","https://openalex.org/W2061477654","https://openalex.org/W2065274398","https://openalex.org/W2065871941","https://openalex.org/W2066415136","https://openalex.org/W2314686410","https://openalex.org/W2326417190","https://openalex.org/W2333683126","https://openalex.org/W2918115359","https://openalex.org/W3150001755","https://openalex.org/W3151140615","https://openalex.org/W4234759790","https://openalex.org/W4248269519","https://openalex.org/W4252597789","https://openalex.org/W4298054792"],"related_works":["https://openalex.org/W2885318960","https://openalex.org/W2964351868","https://openalex.org/W2005900207","https://openalex.org/W4327638682","https://openalex.org/W2141793174","https://openalex.org/W2963797430","https://openalex.org/W3157605113","https://openalex.org/W1980695139","https://openalex.org/W37373053","https://openalex.org/W1927071250"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}