{"id":"https://openalex.org/W2023046297","doi":"https://doi.org/10.1007/s10208-014-9242-8","title":"Improvements to the Deformation Method for Counting Points on Smooth Projective Hypersurfaces","display_name":"Improvements to the Deformation Method for Counting Points on Smooth Projective Hypersurfaces","publication_year":2015,"publication_date":"2015-01-05","ids":{"openalex":"https://openalex.org/W2023046297","doi":"https://doi.org/10.1007/s10208-014-9242-8","mag":"2023046297"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-014-9242-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9242-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/472977","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050161720","display_name":"Sebastian Pancratz","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sebastian Pancratz","raw_affiliation_strings":["Oxford University, Oxford, UK","Oxford University, Oxford, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Oxford University, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Oxford University, Oxford, UK#TAB#","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009938569","display_name":"Jan Tuitman","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jan Tuitman","raw_affiliation_strings":["KU Leuven, Leuven, Belgium","KU Leuven, Leuven (Belgium)"],"affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"KU Leuven, Leuven (Belgium)","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050161720"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.2103,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.93677826,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"6","first_page":"1413","last_page":"1464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9986000061035156,"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":0.9986000061035156,"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/T13234","display_name":"advanced mathematical theories","score":0.9955999851226807,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9894000291824341,"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":0.85291588306427},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.7729697823524475},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.7360525727272034},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5571140646934509},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.5091728568077087},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.5020167827606201},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4464496970176697},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4289896488189697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36985790729522705},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.36686861515045166}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.85291588306427},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.7729697823524475},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.7360525727272034},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5571140646934509},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5091728568077087},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.5020167827606201},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4464496970176697},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4289896488189697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36985790729522705},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.36686861515045166},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-014-9242-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9242-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/472977","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/472977","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Foundations Of Computational Mathematics, vol. 15 (6), (1413-1464)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/472977","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/472977","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Foundations Of Computational Mathematics, vol. 15 (6), (1413-1464)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W149384130","https://openalex.org/W569319729","https://openalex.org/W992210956","https://openalex.org/W1559532354","https://openalex.org/W1571913868","https://openalex.org/W1600636255","https://openalex.org/W1847133963","https://openalex.org/W1994347831","https://openalex.org/W2000578879","https://openalex.org/W2005473436","https://openalex.org/W2021359997","https://openalex.org/W2037816851","https://openalex.org/W2038073775","https://openalex.org/W2051821883","https://openalex.org/W2063328473","https://openalex.org/W2076141927","https://openalex.org/W2087736116","https://openalex.org/W2092576823","https://openalex.org/W2138978560","https://openalex.org/W2153010303","https://openalex.org/W2160407073","https://openalex.org/W2165086961","https://openalex.org/W2257114733","https://openalex.org/W2314581748","https://openalex.org/W2317070658","https://openalex.org/W2330737633","https://openalex.org/W2963322049","https://openalex.org/W3099637078","https://openalex.org/W4249411154","https://openalex.org/W4254717330","https://openalex.org/W6703337478"],"related_works":["https://openalex.org/W4310230578","https://openalex.org/W4226075649","https://openalex.org/W1922059553","https://openalex.org/W4238758668","https://openalex.org/W2314563283","https://openalex.org/W3047380045","https://openalex.org/W2104801760","https://openalex.org/W3126474789","https://openalex.org/W4247806444","https://openalex.org/W935100125"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}