{"id":"https://openalex.org/W1806443681","doi":"https://doi.org/10.1080/10586458.2015.1127186","title":"Some Fourth Order CY-type Operators with Non-symplectically Rigid Monodromy","display_name":"Some Fourth Order CY-type Operators with Non-symplectically Rigid Monodromy","publication_year":2016,"publication_date":"2016-07-08","ids":{"openalex":"https://openalex.org/W1806443681","doi":"https://doi.org/10.1080/10586458.2015.1127186","mag":"1806443681"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1127186","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1127186","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1211.3945","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086487168","display_name":"Michael Bogner","orcid":null},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Bogner","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Johannes Gutenberg-Universit\u00e4t Mainz, Staudingerweg, Mainz, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes Gutenberg-Universit\u00e4t Mainz, Staudingerweg, Mainz, Germany","institution_ids":["https://openalex.org/I197323543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074553410","display_name":"Stefan Reiter","orcid":null},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stefan Reiter","raw_affiliation_strings":["Lehrstuhl IV f\u00fcr Mathematik, Universit\u00e4t Bayreuth, Bayreuth, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl IV f\u00fcr Mathematik, Universit\u00e4t Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074553410"],"corresponding_institution_ids":["https://openalex.org/I54009628"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01344252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"1","first_page":"98","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9969000220298767,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.9014397859573364},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.7527477741241455},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.655613362789154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.63932204246521},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.6375970840454102},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6237289905548096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6092596650123596},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.5962070226669312},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5615752339363098},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44614851474761963},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42692792415618896},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25211188197135925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16329306364059448},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09235623478889465},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07382363080978394},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.061298877000808716},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.04405945539474487}],"concepts":[{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.9014397859573364},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.7527477741241455},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.655613362789154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63932204246521},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.6375970840454102},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6237289905548096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6092596650123596},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5962070226669312},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5615752339363098},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44614851474761963},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42692792415618896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25211188197135925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16329306364059448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09235623478889465},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07382363080978394},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.061298877000808716},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04405945539474487},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10586458.2015.1127186","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1127186","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"},{"id":"pmh:oai:arXiv.org:1211.3945","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1211.3945","pdf_url":"https://arxiv.org/pdf/1211.3945","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:1806443681","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1211.3945v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.762.7940","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.762.7940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1211.3945.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1211.3945","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1211.3945","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1211.3945","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1211.3945","pdf_url":"https://arxiv.org/pdf/1211.3945","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1806443681.pdf","grobid_xml":"https://content.openalex.org/works/W1806443681.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1983408757","https://openalex.org/W2023528925","https://openalex.org/W2030518992","https://openalex.org/W2034660909","https://openalex.org/W2046745379","https://openalex.org/W2565594569","https://openalex.org/W2997100769","https://openalex.org/W4205893952"],"related_works":["https://openalex.org/W2949632597","https://openalex.org/W2964020135","https://openalex.org/W2949967382","https://openalex.org/W3099872043","https://openalex.org/W2025688169","https://openalex.org/W3195589285","https://openalex.org/W3100389475","https://openalex.org/W2909324870","https://openalex.org/W2962745033","https://openalex.org/W65831660","https://openalex.org/W2899780846","https://openalex.org/W3011641091","https://openalex.org/W2057635198","https://openalex.org/W3211708846","https://openalex.org/W3097990899","https://openalex.org/W2950762915","https://openalex.org/W2951213793","https://openalex.org/W2952178918","https://openalex.org/W763632203","https://openalex.org/W3167480776"],"abstract_inverted_index":{"We":[0],"study":[1],"tuples":[2,26],"of":[3,18,23],"matrices":[4],"with":[5],"rigidity":[6],"index":[7],"two":[8],"in":[9],"$\\Sp_4(\\mathbb{C})$,":[10],"which":[11],"are":[12],"potentially":[13],"induced":[14],"by":[15],"differential":[16,40],"operators":[17,41],"Calabi-Yau":[19],"type.":[20],"The":[21],"constructions":[22,36],"those":[24],"monodromy":[25],"via":[27],"algebraic":[28],"operations":[29],"and":[30,33,46],"middle":[31],"convolutions":[32],"the":[34,38],"related":[35],"on":[37],"level":[39],"lead":[42],"to":[43],"previously":[44],"known":[45],"new":[47],"examples.":[48]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}