{"id":"https://openalex.org/W1480285166","doi":"https://doi.org/10.1080/10586458.2016.1138250","title":"An Outline of the Log Minimal Model Program for the Moduli Space of Curves","display_name":"An Outline of the Log Minimal Model Program for the Moduli Space of Curves","publication_year":2016,"publication_date":"2016-08-02","ids":{"openalex":"https://openalex.org/W1480285166","doi":"https://doi.org/10.1080/10586458.2016.1138250","mag":"1480285166"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2016.1138250","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1138250","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/A5027463448","display_name":"Donghoon Hyeon","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Donghoon Hyeon","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, R. O. Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, R. O. Korea","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027463448"],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00334448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"1","first_page":"114","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9991000294685364,"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":0.9991000294685364,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9976000189781189,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8505362868309021},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.8395765423774719},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.6702441573143005},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.6680507063865662},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6291477680206299},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.5066233277320862},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4856899678707123},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4522755742073059},{"id":"https://openalex.org/keywords/family-of-curves","display_name":"Family of curves","score":0.4296897053718567},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.42636382579803467},{"id":"https://openalex.org/keywords/moduli-of-algebraic-curves","display_name":"Moduli of algebraic curves","score":0.4242997169494629},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.295447438955307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8505362868309021},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.8395765423774719},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.6702441573143005},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.6680507063865662},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6291477680206299},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.5066233277320862},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4856899678707123},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4522755742073059},{"id":"https://openalex.org/C53622353","wikidata":"https://www.wikidata.org/wiki/Q1518913","display_name":"Family of curves","level":2,"score":0.4296897053718567},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.42636382579803467},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.4242997169494629},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.295447438955307},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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":1,"locations":[{"id":"doi:10.1080/10586458.2016.1138250","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1138250","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1488344589","https://openalex.org/W1492169195","https://openalex.org/W1507919071","https://openalex.org/W1534028610","https://openalex.org/W1653095504","https://openalex.org/W1655657780","https://openalex.org/W1767512954","https://openalex.org/W1783556132","https://openalex.org/W2018081461","https://openalex.org/W2023066457","https://openalex.org/W2031199936","https://openalex.org/W2052346982","https://openalex.org/W2068421462","https://openalex.org/W2074315717","https://openalex.org/W2080209976","https://openalex.org/W2083735400","https://openalex.org/W2094107417","https://openalex.org/W2141029394","https://openalex.org/W2151876783","https://openalex.org/W2158129746","https://openalex.org/W2593134086","https://openalex.org/W2962988534","https://openalex.org/W2963084524","https://openalex.org/W2963151204","https://openalex.org/W2963363405","https://openalex.org/W2964090885","https://openalex.org/W4249584996"],"related_works":["https://openalex.org/W2246037824","https://openalex.org/W4308230945","https://openalex.org/W2952656040","https://openalex.org/W4299161653","https://openalex.org/W4288083703","https://openalex.org/W2949423142","https://openalex.org/W2902916997","https://openalex.org/W2951077616","https://openalex.org/W4297395168","https://openalex.org/W2964228077"],"abstract_inverted_index":{"We":[0,54],"consider":[1],"the":[2,8,30,35,49,60,70,74,83,101,110,125],"log":[3,31,102,111],"minimal":[4,103],"model":[5,33,104,113],"program":[6,105],"for":[7,34,59],"moduli":[9,36,75],"space":[10,37,76],"of":[11,25,38,51,73,77,86,99],"stable":[12,39],"curves.":[13,53],"It":[14],"is":[15,21],"widely":[16],"believed":[17],"now":[18],"that":[19],"there":[20],"a":[22,56,96],"descending":[23],"sequence":[24],"critical":[26,61,126],"$\u03b1$":[27],"values":[28,62],"where":[29,46],"canonical":[32,112],"curves":[40,79,88,117],"with":[41,89],"respect":[42],"to":[43,119],"$\u03b1\u03b4$":[44],"changes,":[45],"$\u03b4$":[47],"denotes":[48],"divisor":[50],"singular":[52],"derive":[55],"conjectural":[57],"formula":[58],"in":[63],"two":[64],"different":[65],"ways:":[66],"By":[67],"working":[68],"out":[69],"intersection":[71],"theory":[72],"hyperelliptic":[78],"and":[80,91,115,122],"by":[81],"computing":[82],"GIT":[84],"stability":[85],"certain":[87],"tails":[90],"bridges.":[92],"The":[93],"results":[94],"give":[95],"rough":[97],"outline":[98],"how":[100],"would":[106],"proceed,":[107],"predicting":[108],"when":[109],"changes":[114],"which":[116],"are":[118],"be":[120],"discarded":[121],"acquired":[123],"at":[124],"steps.":[127]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
