{"id":"https://openalex.org/W2001286406","doi":"https://doi.org/10.1145/1577190.1577210","title":"Continuations and monodromy on random riemann surfaces","display_name":"Continuations and monodromy on random riemann surfaces","publication_year":2009,"publication_date":"2009-08-03","ids":{"openalex":"https://openalex.org/W2001286406","doi":"https://doi.org/10.1145/1577190.1577210","mag":"2001286406"},"language":"en","primary_location":{"id":"doi:10.1145/1577190.1577210","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1577190.1577210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 conference on Symbolic numeric computation","raw_type":"proceedings-article"},"type":"conference-paper","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/A5111902088","display_name":"Andr\u00e9 Galligo","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Galligo","raw_affiliation_strings":["Universit\u00e9 de Nice and INRIA, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Nice and INRIA, Nice, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015742559","display_name":"Adrien Poteaux","orcid":"https://orcid.org/0000-0002-7493-3001"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adrien Poteaux","raw_affiliation_strings":["Universit\u00e9 de Nice and INRIA, Nice, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Nice and INRIA, Nice, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6869,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.89949749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","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/T12351","display_name":"Geometry and complex manifolds","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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994999766349792,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/factorization","display_name":"Factorization","score":0.8024787902832031},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.7896772623062134},{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.7336399555206299},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.7328855991363525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4640791416168213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44866499304771423},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.4418710470199585},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41753238439559937},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2869676649570465},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2650648355484009},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15182751417160034},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1259082853794098}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.8024787902832031},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.7896772623062134},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.7336399555206299},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7328855991363525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4640791416168213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44866499304771423},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.4418710470199585},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41753238439559937},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2869676649570465},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2650648355484009},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15182751417160034},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1259082853794098}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1577190.1577210","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1577190.1577210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 conference on Symbolic numeric computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.362.7760","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.362.7760","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lifl.fr/~poteaux/fichiers/snc09.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00438289v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00438289","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SNC, 2009, Kyoto, Japan. pp.115-124","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W20987814","https://openalex.org/W202727430","https://openalex.org/W1590743980","https://openalex.org/W1604529701","https://openalex.org/W1969594658","https://openalex.org/W1974195343","https://openalex.org/W1974806647","https://openalex.org/W1977380678","https://openalex.org/W1996407818","https://openalex.org/W2000847054","https://openalex.org/W2002878197","https://openalex.org/W2003998577","https://openalex.org/W2007283669","https://openalex.org/W2013963605","https://openalex.org/W2017843089","https://openalex.org/W2019223056","https://openalex.org/W2024316355","https://openalex.org/W2027088875","https://openalex.org/W2035359068","https://openalex.org/W2042698719","https://openalex.org/W2053301342","https://openalex.org/W2077142118","https://openalex.org/W2096571745","https://openalex.org/W2102067426","https://openalex.org/W2105303994","https://openalex.org/W2127391761","https://openalex.org/W2127412655","https://openalex.org/W2158639671","https://openalex.org/W2331275820","https://openalex.org/W2593708767","https://openalex.org/W3014326185","https://openalex.org/W3141060224","https://openalex.org/W4235641261"],"related_works":["https://openalex.org/W2099828934","https://openalex.org/W3017148368","https://openalex.org/W2295388308","https://openalex.org/W4300123053","https://openalex.org/W1513178824","https://openalex.org/W1536284063","https://openalex.org/W4285390704","https://openalex.org/W2072501978","https://openalex.org/W3101358067","https://openalex.org/W318684809"],"abstract_inverted_index":{"Our":[0],"main":[1],"motivation":[2],"is":[3],"to":[4],"analyze":[5],"and":[6],"improve":[7],"factorization":[8],"algorithms":[9],"for":[10],"bivariate":[11],"polynomials":[12],"in":[13],"C[x,y],":[14],"which":[15],"proceed":[16],"by":[17],"continuation":[18],"methods.":[19]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
