{"id":"https://openalex.org/W7203882814","doi":"https://doi.org/10.48550/arxiv.2608.20203","title":"The arithmetic de Rham stack","display_name":"The arithmetic de Rham stack","publication_year":2026,"publication_date":"2026-08-20","ids":{"openalex":"https://openalex.org/W7203882814","doi":"https://doi.org/10.48550/arxiv.2608.20203"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.20203","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.20203","pdf_url":"https://arxiv.org/pdf/2608.20203","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/2608.20203","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147677872","display_name":"Junhui Qin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Qin, Junhui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147677872"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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":0.9345999956130981,"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":0.9345999956130981,"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":0.05040000006556511,"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":0.003700000001117587,"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/rigid-cohomology","display_name":"rigid cohomology","score":0.9850000143051147},{"id":"https://openalex.org/keywords/arithmetic-d-modules","display_name":"arithmetic D-modules","score":0.9990000128746033},{"id":"https://openalex.org/keywords/p-adic-hodge-theory","display_name":"p-adic Hodge theory","score":0.7360000014305115},{"id":"https://openalex.org/keywords/stacks","display_name":"stacks","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.7768999934196472},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.7286999821662903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.666100025177002},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4912000000476837},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.48570001125335693},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45089998841285706},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.445499986410141},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.33869999647140503},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29330000281333923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28859999775886536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.287200003862381},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.25940001010894775},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.20203","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.20203","pdf_url":"https://arxiv.org/pdf/2608.20203","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.2608.20203","doi":"https://doi.org/10.48550/arxiv.2608.20203","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.20203","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:2608.20203","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.20203","pdf_url":"https://arxiv.org/pdf/2608.20203","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/W7203882814.pdf","grobid_xml":"https://content.openalex.org/works/W7203882814.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1484702092","https://openalex.org/W1511126461","https://openalex.org/W1700698168","https://openalex.org/W1904253056","https://openalex.org/W3090261933","https://openalex.org/W3134337821","https://openalex.org/W4226341991","https://openalex.org/W4281706059","https://openalex.org/W4315705960","https://openalex.org/W4389225941","https://openalex.org/W4390962404","https://openalex.org/W4392848942","https://openalex.org/W4396692550","https://openalex.org/W4403565875","https://openalex.org/W4403579066","https://openalex.org/W4415873428","https://openalex.org/W6966758512","https://openalex.org/W7118011773","https://openalex.org/W7133345788","https://openalex.org/W7154739888","https://openalex.org/W7164124946"],"related_works":["https://openalex.org/W7164124946","https://openalex.org/W2149673503","https://openalex.org/W4366208228","https://openalex.org/W4310562518","https://openalex.org/W4415873428","https://openalex.org/W2160653325","https://openalex.org/W1525851276","https://openalex.org/W4414884174","https://openalex.org/W2125365184","https://openalex.org/W4390962404"],"abstract_inverted_index":{"We":[0,32,63],"define":[1],"and":[2,20,43,50],"study":[3],"the":[4,29,55,80],"arithmetic":[5,51,67],"de":[6],"Rham":[7],"stack":[8],"$X^{\\operatorname{arith}}$":[9,35],"of":[10,17,58,69,76,82],"a":[11,15,37,74],"scheme":[12],"$X$":[13],"over":[14],"field":[16],"characteristic":[18],"$p$,":[19],"analyze":[21],"its":[22,44],"relation":[23],"with":[24],"related":[25],"stacks":[26],"such":[27,72],"as":[28,47,73],"Hyodo--Kato":[30],"stack.":[31],"show":[33],"that":[34],"gives":[36],"stack-theoretic":[38],"approach":[39],"to":[40],"rigid":[41],"cohomology":[42],"coefficients,":[45],"known":[46],"overconvergent":[48,83],"isocrystals":[49,84],"$D$-modules,":[52],"which":[53],"avoids":[54],"long-standing":[56],"problem":[57],"frame-choosing":[59],"in":[60],"earlier":[61],"approaches.":[62],"finally":[64],"give":[65],"some":[66],"applications":[68],"our":[70],"formalism,":[71],"proof":[75],"Berthelot's":[77],"conjecture":[78],"on":[79],"preservation":[81],"by":[85],"smooth":[86],"proper":[87],"pushforward.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-22T00:00:00"}
