{"id":"https://openalex.org/W7223152136","doi":"https://doi.org/10.48550/arxiv.2610.27918","title":"Rational analytic prismatization","display_name":"Rational analytic prismatization","publication_year":2026,"publication_date":"2026-10-20","ids":{"openalex":"https://openalex.org/W7223152136","doi":"https://doi.org/10.48550/arxiv.2610.27918"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.27918","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27918","pdf_url":"https://arxiv.org/pdf/2610.27918","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.27918","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044153941","display_name":"Johannes Ansch\u00fctz","orcid":"https://orcid.org/0000-0002-0644-2534","observed_orcids":["https://orcid.org/0000-0002-0644-2534"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ansch\u00fctz, Johannes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159212516","display_name":"Arthur-C\u00e9sar Le Bras","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bras, Arthur-C\u00e9sar Le","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120249504","display_name":"Juan Esteban Rodr\u00edguez Camargo","orcid":"https://orcid.org/0000-0002-9603-6002","observed_orcids":["https://orcid.org/0000-0002-9603-6002"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Camargo, Juan Esteban Rodr\u00edguez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068026536","display_name":"Peter Scholze","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Scholze, Peter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.6786999702453613,"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":0.6786999702453613,"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":0.25270000100135803,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.022600000724196434,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/perfect-complexes","display_name":"perfect complexes","score":0.7070000171661377},{"id":"https://openalex.org/keywords/frobenius","display_name":"Frobenius","score":0.5870000123977661},{"id":"https://openalex.org/keywords/rigid-analytic-geometry","display_name":"rigid analytic geometry","score":0.6819999814033508},{"id":"https://openalex.org/keywords/p-adic-hodge-theory","display_name":"p-adic Hodge theory","score":0.859000027179718}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7555000185966492},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.6956999897956848},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6798999905586243},{"id":"https://openalex.org/C52743947","wikidata":"https://www.wikidata.org/wiki/Q5570804","display_name":"Global analytic function","level":3,"score":0.5555999875068665},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.45089998841285706},{"id":"https://openalex.org/C46175816","wikidata":"https://www.wikidata.org/wiki/Q134787","display_name":"Analytic geometry","level":2,"score":0.39969998598098755},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3873000144958496},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34290000796318054},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.31940001249313354},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C125605345","wikidata":"https://www.wikidata.org/wiki/Q4724004","display_name":"Algebraic geometry and analytic geometry","level":5,"score":0.2816999852657318},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2782999873161316},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C94727143","wikidata":"https://www.wikidata.org/wiki/Q485394","display_name":"Analytic signal","level":4,"score":0.2572000026702881}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.27918","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27918","pdf_url":"https://arxiv.org/pdf/2610.27918","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2610.27918","doi":"https://doi.org/10.48550/arxiv.2610.27918","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.27918","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.27918","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27918","pdf_url":"https://arxiv.org/pdf/2610.27918","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223152136.pdf","grobid_xml":"https://content.openalex.org/works/W7223152136.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W2759111404","https://openalex.org/W2963149827","https://openalex.org/W4226310301","https://openalex.org/W4226341991","https://openalex.org/W4281706059","https://openalex.org/W4309299798","https://openalex.org/W4315705960","https://openalex.org/W4375870331","https://openalex.org/W4385890175","https://openalex.org/W4387075715","https://openalex.org/W4388555573","https://openalex.org/W4390962404","https://openalex.org/W4392488938","https://openalex.org/W4403579066","https://openalex.org/W4403593991","https://openalex.org/W4404573623","https://openalex.org/W4405470370","https://openalex.org/W4405957531","https://openalex.org/W4415112054","https://openalex.org/W4415873428","https://openalex.org/W4416528685","https://openalex.org/W4417220104","https://openalex.org/W4417291955","https://openalex.org/W7103198839","https://openalex.org/W7106709213","https://openalex.org/W7118011773","https://openalex.org/W7125315982","https://openalex.org/W7133529101","https://openalex.org/W7151635274","https://openalex.org/W7153975576","https://openalex.org/W7154739888","https://openalex.org/W7155543563","https://openalex.org/W7203882814","https://openalex.org/W7222417433"],"related_works":["https://openalex.org/W4386251316","https://openalex.org/W4225871617","https://openalex.org/W2996124294","https://openalex.org/W4406810874","https://openalex.org/W2131762364","https://openalex.org/W4318751854","https://openalex.org/W4225832882","https://openalex.org/W4399657612","https://openalex.org/W7154739888","https://openalex.org/W4380375161"],"abstract_inverted_index":{"We":[0,16],"develop":[1],"a":[2],"general":[3],"theory":[4,68],"of":[5,20],"analytic":[6,12,26,44,61],"prismatization":[7,27],"with":[8,30],"$\\mathbb{Q}_p$-coefficients":[9],"in":[10,65],"rigid":[11,43],"geometry":[13],"over":[14],"$\\mathbb{Q}_p$.":[15],"prove":[17],"an":[18],"equivalence":[19,52],"perfect":[21,25,31],"complexes":[22,32],"on":[23,33],"the":[24,34,54],"modulo":[28],"Frobenius":[29],"relative":[35],"Fargues--Fontaine":[36],"curve":[37],"for":[38],"any":[39],"smooth":[40],"partially":[41],"proper":[42],"variety.":[45],"In":[46],"particular,":[47],"we":[48],"explain":[49],"how":[50],"this":[51],"conceptualizes":[53],"decompletion":[55],"techniques":[56],"by":[57],"passing":[58],"to":[59],"locally":[60],"vectors":[62],"which":[63],"appear":[64],"(geometric)":[66],"Sen":[67]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-22T00:00:00"}