{"id":"https://openalex.org/W3034261619","doi":"https://doi.org/10.1080/10586458.2020.1763872","title":"A SAGE Package for <i>n</i>-Gonal Equisymmetric Stratification of","display_name":"A SAGE Package for <i>n</i>-Gonal Equisymmetric Stratification of","publication_year":2020,"publication_date":"2020-06-12","ids":{"openalex":"https://openalex.org/W3034261619","doi":"https://doi.org/10.1080/10586458.2020.1763872","mag":"3034261619"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2020.1763872","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2020.1763872","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5076201756","display_name":"Antonio Behn","orcid":"https://orcid.org/0000-0002-2877-2972"},"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":false,"raw_author_name":"Antonio Behn","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091169944","display_name":"Anita M. Rojas","orcid":"https://orcid.org/0000-0001-5807-7383"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Anita M. Rojas","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile"],"raw_orcid":"https://orcid.org/0000-0001-5807-7383","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026720575","display_name":"Miguel Tello-Carrera","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Miguel Tello-Carrera","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091169944"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":null,"apc_paid":null,"fwci":1.1608,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76315427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"32","issue":"1","first_page":"54","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9987999796867371,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9980000257492065,"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/mathematics","display_name":"Mathematics","score":0.8111482858657837},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.7981047034263611},{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.6956878304481506},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.6004743576049805},{"id":"https://openalex.org/keywords/stratification","display_name":"Stratification (seeds)","score":0.5992540717124939},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5375539660453796},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.466776043176651},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46425682306289673},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.44340837001800537},{"id":"https://openalex.org/keywords/quotient-space","display_name":"Quotient space (topology)","score":0.44162362813949585},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3430427312850952},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3267829418182373},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27167174220085144},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.11950010061264038}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8111482858657837},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.7981047034263611},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.6956878304481506},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.6004743576049805},{"id":"https://openalex.org/C192943249","wikidata":"https://www.wikidata.org/wiki/Q1893382","display_name":"Stratification (seeds)","level":5,"score":0.5992540717124939},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5375539660453796},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.466776043176651},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46425682306289673},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.44340837001800537},{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.44162362813949585},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3430427312850952},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3267829418182373},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27167174220085144},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.11950010061264038},{"id":"https://openalex.org/C3527866","wikidata":"https://www.wikidata.org/wiki/Q162267","display_name":"Dormancy","level":3,"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/C88548481","wikidata":"https://www.wikidata.org/wiki/Q2397491","display_name":"Seed dormancy","level":4,"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/C100701293","wikidata":"https://www.wikidata.org/wiki/Q193838","display_name":"Germination","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2020.1763872","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2020.1763872","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/177154","is_oa":false,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/177154","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics","raw_type":"Art\u00edculo de revista"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5099999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W606367908","https://openalex.org/W1484028292","https://openalex.org/W1533755086","https://openalex.org/W1534888978","https://openalex.org/W1988071795","https://openalex.org/W1990771383","https://openalex.org/W1994653287","https://openalex.org/W1996143730","https://openalex.org/W2017859371","https://openalex.org/W2039803518","https://openalex.org/W2042565356","https://openalex.org/W2057019357","https://openalex.org/W2067436251","https://openalex.org/W2071048576","https://openalex.org/W2076794169","https://openalex.org/W2091066079","https://openalex.org/W2092309115","https://openalex.org/W2092781827","https://openalex.org/W2109510830","https://openalex.org/W2116914579","https://openalex.org/W2136256205","https://openalex.org/W2503614772","https://openalex.org/W2604611623","https://openalex.org/W2916949226","https://openalex.org/W2963569771","https://openalex.org/W2985270381","https://openalex.org/W4205682100","https://openalex.org/W4234653768","https://openalex.org/W4243104048","https://openalex.org/W4246013664","https://openalex.org/W4249284487","https://openalex.org/W4252813291","https://openalex.org/W4293045476"],"related_works":["https://openalex.org/W3196741607","https://openalex.org/W2073994398","https://openalex.org/W1999604759","https://openalex.org/W1915067638","https://openalex.org/W1002809364","https://openalex.org/W3105521009","https://openalex.org/W4288093204","https://openalex.org/W2980221445","https://openalex.org/W4308014494","https://openalex.org/W1506668851"],"abstract_inverted_index":{"In":[0],"this":[1,135],"work,":[2],"we":[3,140,160],"present":[4],"an":[5,142,146],"algorithm":[6,26,102],"running":[7],"over":[8],"SAGE,":[9],"which":[10,148,168],"allows":[11,27,149],"users":[12],"to":[13,22,29,52,103,123,129,151,171],"deal":[14],"with":[15,55,180],"group":[16,53,126],"actions":[17,54,64,127],"on":[18,65],"Riemann":[19,46],"surfaces":[20,47,66],"up":[21,128],"topological":[23,130],"equivalence.":[24],"Our":[25,86],"us":[28,150],"study":[30],"the":[31,35,40,71,73,76,107,110,137],"equisymmetric":[32,117],"stratification":[33],"of":[34,39,44,48,67,75,94,97,106,109,116,145,155,165],"branch":[36,111],"locus":[37,112],"Bg":[38],"moduli":[41],"space":[42],"Mg":[43],"compact":[45],"genus":[49,57,69,74,133],"g\u22652,":[50],"corresponding":[51],"orbit":[56],"0.":[58],"That":[59],"is,":[60],"it":[61,122],"works":[62],"for":[63,82,132],"any":[68],"in":[70,114],"case":[72],"quotient":[77],"surface":[78],"is":[79,88,169],"zero,":[80],"except":[81],"obvious":[83],"hardware":[84],"constraints.":[85],"approach":[87],"toward":[89],"studying":[90],"inclusions":[91],"and":[92,175],"intersections":[93],"(closed)":[95],"strata":[96],"Bg.":[98],"We":[99,119],"apply":[100],"our":[101],"describe":[104],"part":[105],"geometry":[108],"B9,":[113],"terms":[115],"stratification.":[118],"also":[120],"use":[121],"compute":[124],"all":[125],"equivalence":[131],"5\u201310,":[134],"completes":[136],"lists.":[138],"Finally,":[139],"add":[141],"optimized":[143],"version":[144],"algorithm,":[147],"identify":[152],"Jacobian":[153,163],"varieties":[154],"CM-type.":[156],"As":[157],"a":[158,162],"byproduct,":[159],"obtain":[161],"variety":[164],"dimension":[166],"11":[167],"isogenous":[170],"Ei9\u00d7Ei32,":[172],"where":[173],"Ei":[174],"Ei3":[176],"are":[177],"elliptic":[178],"curves":[179],"complex":[181],"multiplication.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}