{"id":"https://openalex.org/W4412540042","doi":"https://doi.org/10.3390/axioms14070542","title":"Tame Secant Varieties and Group Actions","display_name":"Tame Secant Varieties and Group Actions","publication_year":2025,"publication_date":"2025-07-20","ids":{"openalex":"https://openalex.org/W4412540042","doi":"https://doi.org/10.3390/axioms14070542"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070542","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070542","pdf_url":"https://www.mdpi.com/2075-1680/14/7/542/pdf?version=1752994288","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/7/542/pdf?version=1752994288","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080462516","display_name":"Edoardo Ballico","orcid":"https://orcid.org/0000-0002-1432-7413"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Edoardo Ballico","raw_affiliation_strings":["Department of Mathematics, University of Trento, 38123 Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Trento, 38123 Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080462516"],"corresponding_institution_ids":["https://openalex.org/I193223587"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27157905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"7","first_page":"542","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.24709999561309814,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.24709999561309814,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6394944787025452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43302708864212036},{"id":"https://openalex.org/keywords/group-action","display_name":"Group action","score":0.42078250646591187},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39181017875671387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35461488366127014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17359527945518494}],"concepts":[{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6394944787025452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43302708864212036},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.42078250646591187},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39181017875671387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35461488366127014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17359527945518494},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070542","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070542","pdf_url":"https://www.mdpi.com/2075-1680/14/7/542/pdf?version=1752994288","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9c7ceaacbb734f71af196e3d5aa5a755","is_oa":true,"landing_page_url":"https://doaj.org/article/9c7ceaacbb734f71af196e3d5aa5a755","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 7, p 542 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070542","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070542","pdf_url":"https://www.mdpi.com/2075-1680/14/7/542/pdf?version=1752994288","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412540042.pdf","grobid_xml":"https://content.openalex.org/works/W4412540042.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1649643866","https://openalex.org/W1732649455","https://openalex.org/W1969432745","https://openalex.org/W2007270716","https://openalex.org/W2094892722","https://openalex.org/W2102892751","https://openalex.org/W2165299994","https://openalex.org/W2243807992","https://openalex.org/W2550268705","https://openalex.org/W2904001778","https://openalex.org/W2963262648","https://openalex.org/W2989730962","https://openalex.org/W2996127608","https://openalex.org/W4205502224","https://openalex.org/W4248269519","https://openalex.org/W4395033978","https://openalex.org/W4401047843","https://openalex.org/W4404562457","https://openalex.org/W6629616761"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1998326529","https://openalex.org/W4300937310","https://openalex.org/W2499030906","https://openalex.org/W2509238602","https://openalex.org/W2168408945","https://openalex.org/W2950302474","https://openalex.org/W2565039940","https://openalex.org/W2025849487","https://openalex.org/W3212282568"],"abstract_inverted_index":{"Let":[0],"X":[1,20,91,97],"be":[2],"a":[3,9,74,93],"complex":[4,10],"projective":[5,11],"variety":[6,72],"embedded":[7,59],"in":[8,60,161],"space.":[12],"The":[13],"dimensions":[14],"of":[15,19,52,63,90,105,115,134,140,146,157],"the":[16,50,61,102,109,113,126,137,154],"secant":[17,71,88],"varieties":[18,89,107],"have":[21],"an":[22,56,64],"expected":[23,41],"value,":[24],"and":[25,44,112,124],"it":[26],"is":[27,73,98],"important":[28,47],"to":[29,39,144,153],"know":[30],"if":[31],"they":[32],"are":[33,92,151],"equal":[34],"or":[35],"at":[36],"least":[37],"near":[38],"this":[40,77],"value.":[42],"Blomenhofer":[43],"Casarotti":[45],"proved":[46],"results":[48,150],"on":[49],"embeddings":[51,139],"G-varieties,":[53],"G":[54],"being":[55],"algebraic":[57],"group,":[58],"projectivations":[62],"irreducible":[65],"G-representation,":[66],"proving":[67],"that":[68,85,96],"no":[69,86],"proper":[70,87],"cone.":[75],"In":[76],"paper,":[78],"we":[79,128],"give":[80],"other":[81],"conditions":[82],"which":[83],"assure":[84],"cone,":[94],"e.g.,":[95],"G-homogeneous.":[99],"We":[100,118],"consider":[101],"Segre":[103],"product":[104,110],"two":[106],"with":[108,142],"action":[111],"case":[114],"toric":[116],"varieties.":[117],"present":[119],"conceptual":[120],"tests":[121],"for":[122],"it,":[123],"discuss":[125],"information":[127],"obtained":[129],"from":[130],"certain":[131],"linear":[132],"projections":[133],"X.":[135],"For":[136],"Segre\u2013Veronese":[138],"Pn\u00d7Pn":[141],"respect":[143],"forms":[145,160],"bidegree":[147],"(1,d),":[148],"our":[149],"related":[152],"simultaneous":[155],"rank":[156],"degree":[158],"d":[159],"n+1":[162],"variables.":[163]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
