{"id":"https://openalex.org/W4362733607","doi":"https://doi.org/10.1080/10586458.2023.2184882","title":"Explicit Computations with Cubic Fourfolds, Gushel\u2013Mukai Fourfolds, and their Associated K3 Surfaces","display_name":"Explicit Computations with Cubic Fourfolds, Gushel\u2013Mukai Fourfolds, and their Associated K3 Surfaces","publication_year":2023,"publication_date":"2023-04-10","ids":{"openalex":"https://openalex.org/W4362733607","doi":"https://doi.org/10.1080/10586458.2023.2184882"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2023.2184882","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2023.2184882","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/A5055946350","display_name":"Giovanni Staglian\u00f2","orcid":"https://orcid.org/0000-0003-2754-2945"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giovanni Staglian\u00f2","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Catania, Catania, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2754-2945","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Catania, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055946350"],"corresponding_institution_ids":["https://openalex.org/I39063666"],"apc_list":null,"apc_paid":null,"fwci":0.5423,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57939165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"4","first_page":"529","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":1.0,"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":1.0,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998000264167786,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.8457122445106506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.7133579254150391},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.6428694128990173},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.554833710193634},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5334254503250122},{"id":"https://openalex.org/keywords/software-package","display_name":"Software package","score":0.4855031967163086},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3337693214416504},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.21398690342903137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09080579876899719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07087469100952148},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06272733211517334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8457122445106506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.7133579254150391},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.6428694128990173},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.554833710193634},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5334254503250122},{"id":"https://openalex.org/C3020440742","wikidata":"https://www.wikidata.org/wiki/Q1176855","display_name":"Software package","level":3,"score":0.4855031967163086},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3337693214416504},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.21398690342903137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09080579876899719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07087469100952148},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06272733211517334},{"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:10.1080/10586458.2023.2184882","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2023.2184882","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":53,"referenced_works":["https://openalex.org/W6966139","https://openalex.org/W81987926","https://openalex.org/W108804362","https://openalex.org/W1483672646","https://openalex.org/W1524797899","https://openalex.org/W1524822044","https://openalex.org/W1545633177","https://openalex.org/W1981333809","https://openalex.org/W2007167021","https://openalex.org/W2031076937","https://openalex.org/W2036195184","https://openalex.org/W2089620323","https://openalex.org/W2093396188","https://openalex.org/W2120832894","https://openalex.org/W2155354543","https://openalex.org/W2167050414","https://openalex.org/W2199204006","https://openalex.org/W2239060361","https://openalex.org/W2307393813","https://openalex.org/W2404318334","https://openalex.org/W2443296253","https://openalex.org/W2582404631","https://openalex.org/W2591399222","https://openalex.org/W2727022965","https://openalex.org/W2963018475","https://openalex.org/W2963030026","https://openalex.org/W2963143235","https://openalex.org/W2963500916","https://openalex.org/W2981429012","https://openalex.org/W2990774212","https://openalex.org/W3005265450","https://openalex.org/W3005949418","https://openalex.org/W3042183561","https://openalex.org/W3097958719","https://openalex.org/W3099006754","https://openalex.org/W3100077935","https://openalex.org/W3100206377","https://openalex.org/W3100255170","https://openalex.org/W3101026266","https://openalex.org/W3103281612","https://openalex.org/W3103772644","https://openalex.org/W3104316062","https://openalex.org/W3104876902","https://openalex.org/W3120507257","https://openalex.org/W3198468077","https://openalex.org/W3206860148","https://openalex.org/W3210062936","https://openalex.org/W3215515662","https://openalex.org/W4229449660","https://openalex.org/W4280649828","https://openalex.org/W4286796638","https://openalex.org/W4318068591","https://openalex.org/W6852377426"],"related_works":["https://openalex.org/W2101550730","https://openalex.org/W2950214417","https://openalex.org/W4300422219","https://openalex.org/W2046435967","https://openalex.org/W2104325181","https://openalex.org/W4231775656","https://openalex.org/W2949806093","https://openalex.org/W2542168764","https://openalex.org/W3194399059","https://openalex.org/W4251748586"],"abstract_inverted_index":{"We":[0,42],"present":[1],"some":[2,34,63],"applications":[3],"of":[4,31,35,62,66],"the":[5],"Macaulay2":[6],"software":[7],"package":[8,11],"SpecialFanoFourfolds,":[9],"a":[10],"for":[12],"working":[13],"with":[14,51],"Hodge-special":[15,19],"cubic":[16,52],"fourfolds":[17],"and":[18],"Gushel\u2013Mukai":[20],"fourfolds.":[21],"In":[22],"particular,":[23],"we":[24],"show":[25],"how":[26,45],"to":[27,39,46],"construct":[28],"new":[29],"examples":[30],"such":[32],"fourfolds,":[33,55],"which":[36,56],"turn":[37],"out":[38],"be":[40],"rational.":[41],"also":[43],"describe":[44],"calculate":[47],"K3":[48,67],"surfaces":[49],"associated":[50],"or":[53],"Gushel-Mukai":[54],"relies":[57],"on":[58],"an":[59],"explicit":[60],"unirationality":[61],"moduli":[64],"spaces":[65],"surfaces.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
