{"id":"https://openalex.org/W2024944773","doi":"https://doi.org/10.1017/s0017089500032079","title":"Basis of quadratic differentials for Riemann surfaces with automorphisms","display_name":"Basis of quadratic differentials for Riemann surfaces with automorphisms","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W2024944773","doi":"https://doi.org/10.1017/s0017089500032079","mag":"2024944773"},"language":"en","primary_location":{"id":"doi:10.1017/s0017089500032079","doi":"https://doi.org/10.1017/s0017089500032079","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0017089500032079","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/897BF36E286E46C4DBB0FF022DA89BD7/S0017089500032079a.pdf/div-class-title-basis-of-quadratic-differentials-for-riemann-surfaces-with-automorphisms-div.pdf","source":{"id":"https://openalex.org/S190308653","display_name":"Glasgow Mathematical Journal","issn_l":"0017-0895","issn":["0017-0895","1469-509X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Glasgow Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/897BF36E286E46C4DBB0FF022DA89BD7/S0017089500032079a.pdf/div-class-title-basis-of-quadratic-differentials-for-riemann-surfaces-with-automorphisms-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025319682","display_name":"Gonzalo Riera","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Gonzalo Riera","raw_affiliation_strings":["P. Universidad Cat\u00f3lica, Casila 306 Correo 22, Santiago, Chile, E-mail:","P. Universidad Cat\u00f3lica, Casila 306 Correo 22, Santiago, Chile, E-mail: griera@mat.puc.cl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"P. Universidad Cat\u00f3lica, Casila 306 Correo 22, Santiago, Chile, E-mail:","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"P. Universidad Cat\u00f3lica, Casila 306 Correo 22, Santiago, Chile, E-mail: griera@mat.puc.cl","institution_ids":["https://openalex.org/I162148367"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025319682"],"corresponding_institution_ids":["https://openalex.org/I162148367"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20220698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"2","first_page":"193","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.295199990272522,"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/T11822","display_name":"Analytic and geometric function theory","score":0.295199990272522,"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":0.21899999678134918,"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":0.14560000598430634,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-differentials","display_name":"quadratic differentials","score":0.9950000047683716},{"id":"https://openalex.org/keywords/riemann-surfaces","display_name":"Riemann surfaces","score":0.8949999809265137},{"id":"https://openalex.org/keywords/automorphisms","display_name":"automorphisms","score":0.9399999976158142},{"id":"https://openalex.org/keywords/fuchsian-groups","display_name":"Fuchsian groups","score":0.9100000262260437},{"id":"https://openalex.org/keywords/uniformization-theorem","display_name":"uniformization theorem","score":0.8519999980926514},{"id":"https://openalex.org/keywords/upper-half-plane","display_name":"upper half-plane","score":0.6899999976158142},{"id":"https://openalex.org/keywords/fundamental-region","display_name":"fundamental region","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9176390171051025},{"id":"https://openalex.org/C26020477","wikidata":"https://www.wikidata.org/wiki/Q2109761","display_name":"Uniformization theorem","level":5,"score":0.8867694139480591},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7608551383018494},{"id":"https://openalex.org/C149260544","wikidata":"https://www.wikidata.org/wiki/Q7885142","display_name":"Uniformization (probability theory)","level":5,"score":0.7606076002120972},{"id":"https://openalex.org/C2781228216","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Compact Riemann surface","level":3,"score":0.657475471496582},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6294779181480408},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6112423539161682},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.5980877876281738},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5953811407089233},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5181044936180115},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4746449589729309},{"id":"https://openalex.org/C131356121","wikidata":"https://www.wikidata.org/wiki/Q494995","display_name":"Riemann\u2013Hurwitz formula","level":4,"score":0.46597549319267273},{"id":"https://openalex.org/C154483964","wikidata":"https://www.wikidata.org/wiki/Q825857","display_name":"Riemann sphere","level":3,"score":0.4616272747516632},{"id":"https://openalex.org/C13862481","wikidata":"https://www.wikidata.org/wiki/Q205124","display_name":"Fuchsian group","level":2,"score":0.4610530436038971},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4517211616039276},{"id":"https://openalex.org/C112468886","wikidata":"https://www.wikidata.org/wiki/Q5535485","display_name":"Geometric function theory","level":3,"score":0.43801647424697876},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43099451065063477},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.43004170060157776},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4252327084541321},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.416703462600708},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21691671013832092},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.15132787823677063},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/C158917313","wikidata":"https://www.wikidata.org/wiki/Q4849964","display_name":"Balance equation","level":4,"score":0.0},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.0},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0017089500032079","doi":"https://doi.org/10.1017/s0017089500032079","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0017089500032079","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/897BF36E286E46C4DBB0FF022DA89BD7/S0017089500032079a.pdf/div-class-title-basis-of-quadratic-differentials-for-riemann-surfaces-with-automorphisms-div.pdf","source":{"id":"https://openalex.org/S190308653","display_name":"Glasgow Mathematical Journal","issn_l":"0017-0895","issn":["0017-0895","1469-509X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Glasgow Mathematical Journal","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0017089500032079","doi":"https://doi.org/10.1017/s0017089500032079","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0017089500032079","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/897BF36E286E46C4DBB0FF022DA89BD7/S0017089500032079a.pdf/div-class-title-basis-of-quadratic-differentials-for-riemann-surfaces-with-automorphisms-div.pdf","source":{"id":"https://openalex.org/S190308653","display_name":"Glasgow Mathematical Journal","issn_l":"0017-0895","issn":["0017-0895","1469-509X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Glasgow Mathematical Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024944773.pdf","grobid_xml":"https://content.openalex.org/works/W2024944773.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W72087178","https://openalex.org/W2006104417","https://openalex.org/W2037506442","https://openalex.org/W2224822058","https://openalex.org/W2333878901","https://openalex.org/W2576205250"],"related_works":["https://openalex.org/W3080317625","https://openalex.org/W2167117228","https://openalex.org/W4231799418","https://openalex.org/W2513448172","https://openalex.org/W2038857565","https://openalex.org/W4238442289","https://openalex.org/W4252161163","https://openalex.org/W4241383310","https://openalex.org/W2024944773","https://openalex.org/W941487118"],"abstract_inverted_index":{"The":[0],"uniformization":[1],"theorem":[2],"says":[3],"that":[4],"any":[5],"compact":[6,34],"Riemann":[7],"surface":[8],"S":[9],"of":[10,19,27],"genus":[11],"g\u22652":[12],"can":[13],"be":[14],"represented":[15],"as":[16],"the":[17,20,25],"quotient":[18],"upper":[21],"half":[22],"plane":[23],"by":[24],"action":[26],"a":[28,33],"Fuchsian":[29],"group":[30],"A":[31],"with":[32],"fundamental":[35],"region":[36],"\u0394.":[37]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
