{"id":"https://openalex.org/W2981196833","doi":"https://doi.org/10.1080/10586458.2019.1671920","title":"Non-Existence and Finiteness Results for Teichm\u00fcller Curves in Prym Loci","display_name":"Non-Existence and Finiteness Results for Teichm\u00fcller Curves in Prym Loci","publication_year":2019,"publication_date":"2019-10-16","ids":{"openalex":"https://openalex.org/W2981196833","doi":"https://doi.org/10.1080/10586458.2019.1671920","mag":"2981196833"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2019.1671920","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2019.1671920","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/A5065809649","display_name":"Erwan Lanneau","orcid":"https://orcid.org/0000-0001-9993-4716"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210166226","display_name":"Institut Fourier","ror":"https://ror.org/05rwrfh97","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210166226","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Erwan Lanneau","raw_affiliation_strings":["UMR CNRS 5582 Univ. Grenoble Alpes, CNRS, Institut Fourier, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"UMR CNRS 5582 Univ. Grenoble Alpes, CNRS, Institut Fourier, Grenoble, France","institution_ids":["https://openalex.org/I4210166226","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112231326","display_name":"Martin M\u00f6ller","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin M\u00f6ller","raw_affiliation_strings":["Institut fur Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt, Germany"],"affiliations":[{"raw_affiliation_string":"Institut fur Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt, Germany","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065809649"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210166226","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.22769476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"31","issue":"2","first_page":"621","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9925000071525574,"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":0.9925000071525574,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9652000069618225,"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":0.9652000069618225,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8808999061584473},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.7045908570289612},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.5685321092605591},{"id":"https://openalex.org/keywords/stratum","display_name":"Stratum","score":0.5208694934844971},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07846662402153015},{"id":"https://openalex.org/keywords/anatomy","display_name":"Anatomy","score":0.044952601194381714},{"id":"https://openalex.org/keywords/paleontology","display_name":"Paleontology","score":0.03940209746360779}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8808999061584473},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.7045908570289612},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.5685321092605591},{"id":"https://openalex.org/C175585516","wikidata":"https://www.wikidata.org/wiki/Q12758989","display_name":"Stratum","level":2,"score":0.5208694934844971},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07846662402153015},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.044952601194381714},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.03940209746360779},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2019.1671920","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2019.1671920","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:HAL:hal-04745497v1","is_oa":false,"landing_page_url":"https://cnrs.hal.science/hal-04745497","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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, 2019, 31 (2), pp.621-636. ⟨10.1080/10586458.2019.1671920⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322364","display_name":"Labex","ror":"https://ror.org/01cvsyf94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1520130059","https://openalex.org/W1937692550","https://openalex.org/W1982621211","https://openalex.org/W1995948987","https://openalex.org/W1997328070","https://openalex.org/W2039404055","https://openalex.org/W2073051817","https://openalex.org/W2076955205","https://openalex.org/W2083594770","https://openalex.org/W2096602945","https://openalex.org/W2121275870","https://openalex.org/W2128543548","https://openalex.org/W2147240893","https://openalex.org/W2163119848","https://openalex.org/W2567289819","https://openalex.org/W2594202576","https://openalex.org/W2962681777","https://openalex.org/W2963057137","https://openalex.org/W2963083928","https://openalex.org/W2963157807","https://openalex.org/W2963193663","https://openalex.org/W2963364778","https://openalex.org/W2963901709","https://openalex.org/W2964153684","https://openalex.org/W2964226459","https://openalex.org/W3098675676","https://openalex.org/W3122297243","https://openalex.org/W3122897276","https://openalex.org/W3123551712","https://openalex.org/W6748219747"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2467426866","https://openalex.org/W2384805209","https://openalex.org/W2374198434","https://openalex.org/W2378542647","https://openalex.org/W2364570294","https://openalex.org/W2354890572","https://openalex.org/W2349610030","https://openalex.org/W2360927302","https://openalex.org/W2352775724"],"abstract_inverted_index":{"The":[0],"minimal":[1],"stratum":[2,25,35],"in":[3,74],"Prym":[4],"loci":[5],"have":[6],"been":[7],"the":[8,24,34,45,71,75],"first":[9],"source":[10],"of":[11,66],"infinitely":[12],"many":[13],"primitive,":[14],"but":[15,51],"not":[16],"algebraically":[17],"primitive":[18,77],"Teichm\u00fcller":[19,31,41,60],"curves.":[20,42],"We":[21],"show":[22],"that":[23],"Prym(1,":[26],"2)":[27],"contains":[28],"no":[29],"such":[30,40],"curve":[32],"and":[33,62],"Prym(2)":[36],"at":[37],"most":[38],"92":[39],"This":[43],"complements":[44],"recent":[46],"progress":[47],"establishing":[48],"general":[49],"\u2013":[50,53],"non-effective":[52],"methods":[54],"to":[55,69],"prove":[56],"finiteness":[57],"results":[58],"for":[59],"curves":[61],"serves":[63],"as":[64],"proof":[65],"concept":[67],"how":[68],"use":[70],"torsion":[72],"condition":[73],"non-algebraically":[76],"case.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}