{"id":"https://openalex.org/W2964041778","doi":"https://doi.org/10.1080/10586458.2018.1428132","title":"Enumerating Hassett\u2019s Wall and Chamber Decomposition of the Moduli Space of Weighted Stable Curves","display_name":"Enumerating Hassett\u2019s Wall and Chamber Decomposition of the Moduli Space of Weighted Stable Curves","publication_year":2018,"publication_date":"2018-02-20","ids":{"openalex":"https://openalex.org/W2964041778","doi":"https://doi.org/10.1080/10586458.2018.1428132","mag":"2964041778"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2018.1428132","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1428132","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/A5045236323","display_name":"Kenneth Ascher","orcid":"https://orcid.org/0000-0002-3275-4988"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kenneth Ascher","raw_affiliation_strings":["Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011664756","display_name":"Connor Dub\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Connor Dub\u00e9","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002233521","display_name":"Daniel Gershenson","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Gershenson","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057732912","display_name":"Elaine Hou","orcid":"https://orcid.org/0000-0002-5194-1025"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elaine Hou","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven, CT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045236323"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.29797097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"1","first_page":"36","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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":0.9993000030517578,"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":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.8601784706115723},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6351839900016785},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6038578748703003},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.6031712293624878},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.565584659576416},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5244336724281311},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.5146761536598206},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.490624338388443},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.48994654417037964},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47370097041130066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3717803359031677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3297678828239441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06224891543388367}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8601784706115723},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6351839900016785},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6038578748703003},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.6031712293624878},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.565584659576416},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5244336724281311},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5146761536598206},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.490624338388443},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.48994654417037964},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47370097041130066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3717803359031677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3297678828239441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06224891543388367},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2018.1428132","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1428132","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":[{"id":"https://metadata.un.org/sdg/11","score":0.5699999928474426,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308380","display_name":"Yale University","ror":"https://ror.org/03v76x132"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1978192778","https://openalex.org/W2013357016","https://openalex.org/W2041273777","https://openalex.org/W2057727486","https://openalex.org/W2079873320","https://openalex.org/W2106372992","https://openalex.org/W2107824461","https://openalex.org/W2545696445","https://openalex.org/W2964047214","https://openalex.org/W4246435782","https://openalex.org/W4248545690"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4287020903","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W2406961474","https://openalex.org/W2245212494","https://openalex.org/W3194399059"],"abstract_inverted_index":{"Hassett":[0],"constructed":[1],"a":[2,19,42,49,71,84],"class":[3,72],"of":[4,7,25,28,53,61,73,86,106,113,128,130],"modular":[5],"compactifications":[6],"Mg,n":[8],"by":[9],"adding":[10],"weights":[11,30],"to":[12,18,57,70],"the":[13,26,33,59,93,104,110,126],"marked":[14],"points.":[15],"This":[16],"leads":[17],"natural":[20],"wall":[21],"and":[22,36,44,82,108,132],"chamber":[23],"decomposition":[24],"domain":[27],"admissible":[29],"Dg,n,":[31],"where":[32],"moduli":[34],"space":[35],"universal":[37],"family":[38],"remain":[39],"constant":[40],"inside":[41],"chamber,":[43],"may":[45],"change":[46],"upon":[47],"crossing":[48],"wall.":[50],"The":[51],"goal":[52],"this":[54,64,96],"paper":[55],"is":[56],"count":[58],"number":[60,105,112],"chambers":[62,69,114,129],"in":[63,90,135],"decomposition.":[65],"We":[66],"relate":[67],"these":[68],"boolean":[74],"functions":[75,80],"known":[76],"as":[77],"linear":[78],"threshold":[79],"(LTFs),":[81],"discover":[83],"subclass":[85],"LTFs":[87],"which":[88],"are":[89],"bijection":[91],"with":[92],"chambers.":[94],"Using":[95],"relation,":[97],"we":[98,121],"prove":[99,133],"an":[100,123],"asymptotic":[101],"formula":[102],"for":[103,115,125],"chambers,":[107],"compute":[109],"exact":[111],"n":[116],"\u2a7d":[117],"9.":[118],"In":[119],"addition,":[120],"provide":[122],"algorithm":[124],"enumeration":[127],"Dg,n":[131],"results":[134],"computational":[136],"complexity.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}