{"id":"https://openalex.org/W2962734403","doi":"https://doi.org/10.1080/10586458.2015.1073641","title":"Automorphisms of Supersingular<i>K</i>3 Surfaces and Salem Polynomials","display_name":"Automorphisms of Supersingular<i>K</i>3 Surfaces and Salem Polynomials","publication_year":2016,"publication_date":"2016-03-30","ids":{"openalex":"https://openalex.org/W2962734403","doi":"https://doi.org/10.1080/10586458.2015.1073641","mag":"2962734403"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1073641","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1073641","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/A5101587962","display_name":"Ichiro Shimada","orcid":"https://orcid.org/0000-0002-9781-6342"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ichiro Shimada","raw_affiliation_strings":["Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101587962"],"corresponding_institution_ids":["https://openalex.org/I113306721"],"apc_list":null,"apc_paid":null,"fwci":7.4229,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.97561765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"4","first_page":"389","last_page":"398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9983999729156494,"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":0.9983999729156494,"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/T11130","display_name":"Coding theory and cryptography","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9255965352058411},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.8923656344413757},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5877143144607544},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5120992660522461},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5066302418708801},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4577005207538605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38590723276138306},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.116792231798172}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9255965352058411},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8923656344413757},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5877143144607544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5120992660522461},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5066302418708801},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4577005207538605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38590723276138306},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.116792231798172},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2015.1073641","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1073641","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":19,"referenced_works":["https://openalex.org/W21614726","https://openalex.org/W1513977583","https://openalex.org/W1591354812","https://openalex.org/W1605444721","https://openalex.org/W1976399393","https://openalex.org/W2023606401","https://openalex.org/W2033265212","https://openalex.org/W2035259943","https://openalex.org/W2042611363","https://openalex.org/W2044615449","https://openalex.org/W2061778783","https://openalex.org/W2090362578","https://openalex.org/W2122743322","https://openalex.org/W2157753371","https://openalex.org/W2245942316","https://openalex.org/W2272328182","https://openalex.org/W2576880615","https://openalex.org/W3099426327","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2114124567","https://openalex.org/W2998724919","https://openalex.org/W4287811792","https://openalex.org/W2949572243","https://openalex.org/W2047003591","https://openalex.org/W2493306039","https://openalex.org/W2082571112","https://openalex.org/W2964283608","https://openalex.org/W4299665684","https://openalex.org/W2337570915"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,9,53,60],"method":[3],"to":[4,32,78],"generate":[5],"many":[6],"automorphisms":[7],"of":[8,56],"supersingular":[10,36,61],"K3":[11,37,62],"surface":[12,38,63],"in":[13,39],"odd":[14,26,72],"characteristic.":[15],"As":[16],"an":[17,25,43],"application,":[18],"we":[19],"show":[20],"that":[21],"if":[22],"p":[23,41],"is":[24,52],"prime":[27],"less":[28,74],"than":[29,75],"or":[30,76],"equal":[31,77],"7919,":[33],"then":[34],"every":[35],"characteristic":[40,46],"has":[42],"automorphism":[44],"whose":[45],"polynomial":[47,55],"on":[48],"the":[49,68],"N\u00e9ron\u2013Severi":[50],"lattice":[51],"Salem":[54],"degree":[57],"22.":[58],"For":[59],"with":[64],"Artin":[65],"invariant":[66],"10,":[67],"same":[69],"holds":[70],"for":[71],"primes":[73],"17,":[79],"389.":[80]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}