{"id":"https://openalex.org/W7130716038","doi":"https://doi.org/10.1007/jhep10(2026)062","title":"Further bounding the Kreuzer-Skarke landscape","display_name":"Further bounding the Kreuzer-Skarke landscape","publication_year":2026,"publication_date":"2026-10-07","ids":{"openalex":"https://openalex.org/W7130716038","doi":"https://doi.org/10.1007/jhep10(2026)062"},"language":"en","primary_location":{"id":"doi:10.1007/jhep10(2026)062","doi":"https://doi.org/10.1007/jhep10(2026)062","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)062","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)062.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)062.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126505039","display_name":"Nate MacFadden","orcid":"https://orcid.org/0000-0002-8481-3724","observed_orcids":["https://orcid.org/0000-0002-8481-3724"]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nate MacFadden","raw_affiliation_strings":["Cornell University"],"raw_orcid":"https://orcid.org/0000-0002-8481-3724","affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110954181","display_name":"S. Yu. Orevkov","orcid":"https://orcid.org/0000-0002-8071-9116","observed_orcids":["https://orcid.org/0000-0002-8071-9116"]},"institutions":[{"id":"https://openalex.org/I4405258862","display_name":"Universit\u00e9 de Toulouse","ror":"https://ror.org/01ahyrz84","country_code":"FR","type":"education","lineage":["https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stepan Yu. Orevkov","raw_affiliation_strings":["Universit\u00e9 de Toulouse"],"raw_orcid":"https://orcid.org/0000-0002-8071-9116","affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Toulouse","institution_ids":["https://openalex.org/I4405258862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005447041","display_name":"Michael Stepniczka","orcid":"https://orcid.org/0000-0002-3838-6653","observed_orcids":["https://orcid.org/0000-0002-3838-6653"]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Stepniczka","raw_affiliation_strings":["Cornell University"],"raw_orcid":"https://orcid.org/0000-0002-3838-6653","affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005447041"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":4.0811,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.92450533,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"2026","issue":"10","first_page":"062","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9423999786376953,"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":0.9423999786376953,"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":0.026399999856948853,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.014800000004470348,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reflexive-polytopes","display_name":"reflexive polytopes","score":0.9559999704360962},{"id":"https://openalex.org/keywords/string-theory-landscape","display_name":"string landscape","score":0.3409999907016754}],"concepts":[{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.9413999915122986},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7735999822616577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7621999979019165},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.6855999827384949},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6111000180244446},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5983999967575073},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.579200029373169},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35409998893737793},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26030001044273376}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/jhep10(2026)062","doi":"https://doi.org/10.1007/jhep10(2026)062","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)062","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)062.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05538678v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05538678v1","pdf_url":"http://arxiv.org/pdf/2602.16909","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of High Energy Physics, 2026, 10, pp.062. ⟨10.1007/JHEP10(2026)062⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2602.16909","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2602.16909","pdf_url":"https://arxiv.org/pdf/2602.16909","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:56cd81c09c0b40e989929491521acf00","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/56cd81c09c0b40e989929491521acf00","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Journal of High Energy Physics, Vol 2026, Iss 10 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2602.16909","doi":"https://doi.org/10.48550/arxiv.2602.16909","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.16909","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/jhep10(2026)062","doi":"https://doi.org/10.1007/jhep10(2026)062","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)062","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)062.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1881255430","display_name":"Theoretical Particle Physics","funder_award_id":"2309456","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7130716038.pdf","grobid_xml":"https://content.openalex.org/works/W7130716038.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1567768783","https://openalex.org/W1788866689","https://openalex.org/W1796115931","https://openalex.org/W2019686728","https://openalex.org/W2559722918","https://openalex.org/W2775284184","https://openalex.org/W2883606939","https://openalex.org/W2922874716","https://openalex.org/W2963800692","https://openalex.org/W3046957289","https://openalex.org/W3184297764","https://openalex.org/W4308668666","https://openalex.org/W4381306360","https://openalex.org/W4386976782","https://openalex.org/W4387561518","https://openalex.org/W4393338583","https://openalex.org/W4409362067","https://openalex.org/W4414000418","https://openalex.org/W4416820855","https://openalex.org/W7116048737","https://openalex.org/W7125894600"],"related_works":["https://openalex.org/W7116048737","https://openalex.org/W4393338583","https://openalex.org/W3046957289","https://openalex.org/W7137605157","https://openalex.org/W4386976782","https://openalex.org/W3099610977","https://openalex.org/W7220869607","https://openalex.org/W7097223834","https://openalex.org/W7136035657","https://openalex.org/W2112793077"],"abstract_inverted_index":{"A":[0],"bstract":[1],"Batyrev\u2019s":[2],"construction":[3],"provides":[4],"a":[5,93,112],"map":[6],"from":[7],"fine,":[8],"regular,":[9],"star":[10],"triangulations":[11],"(FRSTs)":[12],"of":[13,33,44,54,75,96,102,118,121],"4D":[14],"reflexive":[15],"polytopes":[16,82],"to":[17,68,131],"smooth":[18],"Calabi-Yau":[19],"threefolds":[20],"(CYs).":[21],"We":[22,90],"prove":[23],"that":[24,57,108],"there":[25],"are":[26],"at":[27],"most":[28],"10":[29,45,97],"296":[30],"diffeomorphism":[31,119],"classes":[32,120,127],"CYs":[34,70],"produced":[35],"in":[36],"this":[37,109],"manner,":[38],"improving":[39],"ref.":[40],"[1]\u2019s":[41],"upper":[42],"bound":[43,72,95,114],"428":[46],".":[47],"To":[48],"show":[49],"this,":[50],"we":[51],"make":[52],"use":[53],"the":[55,62,73,100,116],"fact":[56],"any":[58],"two":[59],"FRSTs":[60],"with":[61,83],"same":[63],"2-face":[64,103,125],"restrictions":[65],"give":[66,129],"rise":[67,130],"diffeomorphic":[69,132],"and":[71],"number":[74,85,101,117],"such":[76],"\u20182-face":[77],"equivalence":[78,104,126],"classes\u2019":[79],"for":[80],"all":[81],"Hodge":[84],"h":[86],"1,1":[87],"\u2265":[88],"300.":[89],"also":[91],"put":[92],"lower":[94,113],"276":[98],"on":[99,115],"classes,":[105],"but":[106],"emphasize":[107],"is":[110],"not":[111],"CYs,":[122],"as":[123],"distinct":[124],"may":[128],"threefolds.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-02-21T00:00:00"}