{"id":"https://openalex.org/W4396547486","doi":"https://doi.org/10.1007/s00454-024-00651-z","title":"Finitary Affine Oriented Matroids","display_name":"Finitary Affine Oriented Matroids","publication_year":2024,"publication_date":"2024-05-01","ids":{"openalex":"https://openalex.org/W4396547486","doi":"https://doi.org/10.1007/s00454-024-00651-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-024-00651-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00651-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00651-z.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00651-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011835528","display_name":"Emanuele Delucchi","orcid":"https://orcid.org/0000-0003-3430-1517"},"institutions":[{"id":"https://openalex.org/I15196421","display_name":"University of Applied Sciences and Arts of Southern Switzerland","ror":"https://ror.org/05ep8g269","country_code":"CH","type":"education","lineage":["https://openalex.org/I15196421"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Emanuele Delucchi","raw_affiliation_strings":["University of Applied Arts and Sciences of Southern Switzerland (SUPSI), Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Applied Arts and Sciences of Southern Switzerland (SUPSI), Lugano, Switzerland","institution_ids":["https://openalex.org/I15196421"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057566451","display_name":"Kolja Knauer","orcid":"https://orcid.org/0000-0002-8151-2184"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["ES","FR"],"is_corresponding":false,"raw_author_name":"Kolja Knauer","raw_affiliation_strings":["Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011835528"],"corresponding_institution_ids":["https://openalex.org/I15196421"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12721474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"1","first_page":"208","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.9712590575218201},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.7051822543144226},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6180159449577332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4705142080783844},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3276168704032898},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27260681986808777},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2645692825317383}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9712590575218201},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.7051822543144226},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6180159449577332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4705142080783844},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3276168704032898},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27260681986808777},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2645692825317383}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-024-00651-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00651-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00651-z.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-024-00651-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00651-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00651-z.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396547486.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W344618875","https://openalex.org/W958458990","https://openalex.org/W1516308076","https://openalex.org/W1967423218","https://openalex.org/W1994041466","https://openalex.org/W2001432829","https://openalex.org/W2020102029","https://openalex.org/W2023006037","https://openalex.org/W2039415399","https://openalex.org/W2044317152","https://openalex.org/W2067004904","https://openalex.org/W2072980863","https://openalex.org/W2129340633","https://openalex.org/W2134086356","https://openalex.org/W2163871793","https://openalex.org/W2309721867","https://openalex.org/W2463927641","https://openalex.org/W2486762503","https://openalex.org/W2805575663","https://openalex.org/W2805737140","https://openalex.org/W2962829731","https://openalex.org/W2962840653","https://openalex.org/W2962867705","https://openalex.org/W2963873026","https://openalex.org/W2964290349","https://openalex.org/W2967847895","https://openalex.org/W2980051422","https://openalex.org/W3037459094","https://openalex.org/W3210146342","https://openalex.org/W4254205555"],"related_works":["https://openalex.org/W1758887450","https://openalex.org/W2952716955","https://openalex.org/W2950777852","https://openalex.org/W4320933066","https://openalex.org/W2952597554","https://openalex.org/W1966836246","https://openalex.org/W4299572484","https://openalex.org/W2156958352","https://openalex.org/W2096997248","https://openalex.org/W1243305749"],"abstract_inverted_index":{"Abstract":[0],"We":[1,61],"initiate":[2],"the":[3,27,38,69,98,120],"axiomatic":[4],"study":[5,45,90],"of":[6,30,32,64,100,110,119,124,127,132,140,142],"affine":[7,111],"oriented":[8,58],"matroids":[9],"(AOMs)":[10],"on":[11,93],"arbitrary":[12],"ground":[13],"sets,":[14],"obtaining":[15],"fundamental":[16],"notions":[17],"such":[18],"as":[19,51,53,57],"minors,":[20],"reorientations":[21],"and":[22,48,66,112,151],"a":[23,103,107,136,147],"natural":[24],"embedding":[25],"into":[26],"frame":[28],"work":[29],"Complexes":[31],"Oriented":[33],"Matroids.":[34],"The":[35],"restriction":[36],"to":[37,44,54,75,135],"finitary":[39,59],"case":[40,99],"(FAOMs)":[41],"allows":[42],"us":[43],"tope":[46],"graphs":[47],"covector":[49],"posets,":[50],"well":[52],"view":[55],"FAOMs":[56,65,70,101],"semimatroids.":[60],"show":[62],"shellability":[63],"single":[67],"out":[68],"that":[71],"are":[72,102],"affinely":[73],"homeomorphic":[74],"$$\\mathbb":[76],"{R}^n$$":[77],"<mml:math":[78],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[79],"<mml:msup>":[80],"<mml:mrow>":[81],"<mml:mi>R</mml:mi>":[82],"</mml:mrow>":[83],"<mml:mi>n</mml:mi>":[84],"</mml:msup>":[85],"</mml:math>":[86],".":[87],"Finally,":[88],"we":[89],"group":[91,125],"actions":[92,126],"AOMs,":[94],"whose":[95],"quotients":[96],"in":[97],"stepping":[104],"stone":[105],"towards":[106],"general":[108],"theory":[109],"toric":[113,133],"pseudoarrangements.":[114],"Our":[115],"results":[116],"include":[117],"applications":[118],"multiplicity":[121],"Tutte":[122],"polynomial":[123],"semimatroids,":[128],"generalizing":[129],"enumerative":[130],"properties":[131],"arrangements":[134,141],"combinatorially":[137],"defined":[138],"class":[139],"submanifolds.":[143],"This":[144],"answers":[145],"partially":[146],"question":[148],"by":[149],"Ehrenborg":[150],"Readdy.":[152]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
