{"id":"https://openalex.org/W7213997180","doi":"https://doi.org/10.13140/rg.2.2.14023.46240","title":"Searching Schemes With $p$-Adic Neumann Boundary Value Problems","display_name":"Searching Schemes With $p$-Adic Neumann Boundary Value Problems","publication_year":2026,"publication_date":"2026-08-15","ids":{"openalex":"https://openalex.org/W7213997180","doi":"https://doi.org/10.13140/rg.2.2.14023.46240"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.27751","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.27751","pdf_url":"https://arxiv.org/pdf/2609.27751","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/2609.27751","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004777755","display_name":"Patrick Erik Bradley","orcid":"https://orcid.org/0000-0001-5595-490X","observed_orcids":["https://orcid.org/0000-0001-5595-490X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Patrick Erik Bradley","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004777755"],"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":0.788100004196167,"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":0.788100004196167,"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/T13234","display_name":"p-Adic Analysis and Mathematical Physics","score":0.1768999993801117,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.016300000250339508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ramification-divisor","display_name":"ramification divisor","score":0.9120000004768372},{"id":"https://openalex.org/keywords/radon-nikodym-derivative","display_name":"Radon-Nikodym derivative","score":0.9440000057220459},{"id":"https://openalex.org/keywords/radon-measures","display_name":"Radon measures","score":0.8159999847412109},{"id":"https://openalex.org/keywords/heat-kernel-estimates","display_name":"heat kernel estimates","score":0.9089999794960022},{"id":"https://openalex.org/keywords/log-terminal-singularities","display_name":"log terminal singularities","score":0.8769999742507935},{"id":"https://openalex.org/keywords/weierstrass-points","display_name":"Weierstrass points","score":0.9229999780654907},{"id":"https://openalex.org/keywords/reconstruction-problem","display_name":"reconstruction problem","score":0.5920000076293945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5623999834060669},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3560999929904938},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.27900001406669617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2766999900341034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2752000093460083},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.2621000111103058},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2609.27751","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.27751","pdf_url":"https://arxiv.org/pdf/2609.27751","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.2609.27751","doi":"https://doi.org/10.48550/arxiv.2609.27751","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.27751","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.13140/rg.2.2.14023.46240","doi":"https://doi.org/10.13140/rg.2.2.14023.46240","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.14023.46240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.27751","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.27751","pdf_url":"https://arxiv.org/pdf/2609.27751","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213997180.pdf","grobid_xml":"https://content.openalex.org/works/W7213997180.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7214009833","https://openalex.org/W7161738244","https://openalex.org/W7165627192","https://openalex.org/W7086859346","https://openalex.org/W4417239954","https://openalex.org/W1514852925","https://openalex.org/W74377452","https://openalex.org/W2942766231","https://openalex.org/W3032769547","https://openalex.org/W4401265816"],"abstract_inverted_index":{"Firstly,":[0],"for":[1,97],"branched":[2],"covering":[3],"maps":[4],"$f\\colon":[5],"Y\\to":[6],"X$":[7],"between":[8],"smooth,":[9],"separated":[10],"schemes":[11,126],"of":[12,20,36,40,56,64,68,71,79,106,134,150,166,178],"finite":[13],"type":[14],"over":[15],"the":[16,26,34,37,41,53,65,77,135,148],"integral":[17,84],"ring":[18],"$O_K$":[19],"a":[21,87,104,151],"non-archimedean":[22],"local":[23],"field":[24],"$K$,":[25],"ramification":[27],"divisor":[28,35,149],"is":[29,91,127],"found":[30],"to":[31,142],"coincide":[32],"with":[33,45,119,154,156],"Radon-Nikodym":[38],"derivative":[39],"Radon":[42],"measure":[43,55],"associated":[44],"an":[46],"algebraic":[47,114,168],"differential":[48,117],"form":[49,153],"on":[50,58,100,113,121,146],"$Y$":[51,72],"against":[52],"pullback":[54],"one":[57],"$X$,":[59],"both":[60],"taking":[61],"Borel":[62],"sets":[63],"space":[66],"$Y(O_K)$":[67],"$O_K$-rational":[69],"points":[70,165],"as":[73,161,163],"input":[74],"values.":[75],"Secondly,":[76],"ultracontractivity":[78],"semigroups":[80],"generated":[81],"by":[82],"Laplacian":[83],"operators":[85,99],"having":[86],"geodetic-distance-power":[88],"kernel":[89,95],"function":[90],"proven,":[92],"using":[93],"heat":[94],"estimates":[96],"ultrametric":[98],"$p$-adic":[101,107,179],"balls.":[102],"Thirdly,":[103],"series":[105],"Neumann":[108,180],"Boundary":[109,181],"Value":[110,182],"Problems,":[111],"depending":[112],"and":[115,129],"pluricanonical":[116,152],"forms":[118],"poles":[120,155],"spaces":[122],"$X(O_K)$":[123],"coming":[124],"from":[125],"formulated":[128],"solved,":[130],"extending":[131],"previous":[132],"work":[133],"author.":[136],"These":[137],"results":[138],"are":[139],"then":[140],"used":[141],"solve":[143],"reconstruction":[144],"problems":[145],"schemes:":[147],"at":[157],"worst":[158],"log-terminal":[159],"singularities,":[160],"well":[162],"Weierstrass":[164],"projective":[167],"curves":[169],"can":[170],"be":[171],"reconstructed":[172],"via":[173],"repeatedly":[174],"finding":[175],"weak":[176],"solutions":[177],"Problems.":[183]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-23T00:00:00"}
