@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q1493952 rdfs:label "Garbenkohomologie"@de,
        "sheaf cohomology"@en,
        "garba kohomologio"@eo,
        "cohomología de haces"@es,
        "cohomologie des faisceaux"@fr,
        "cohomoloxía de feixe"@gl,
        "cohomologia de fasces"@ia,
        "coomologia dei fasci"@it,
        "層コホモロジー"@ja,
        "층 코호몰로지"@ko,
        "cohomologia fascium"@la,
        "coomolojia de faxos"@lfn,
        "cohomologia de feixes"@pt,
        "cohomologia de feixes"@pt-br,
        "coomologia fasciculelor"@ro,
        "когомологии пучков"@ru,
        "kohomologija snopov"@sl,
        "когомологія пучків"@uk,
        "层上同调"@zh,
        "层上同调"@zh-hans,
        "層上同調"@zh-hant ;
    schema1:dateModified "2025-07-28T10:22:59+00:00"^^xsd:dateTime ;
    schema1:description "abgeleiteter Funktor für Garben kommutativer Gruppen"@de,
        "right derived functors of the global sections functor Γ: AbSh → Ab"@en,
        "la dekstra derivita funktoro de la funktoro de mallokaj sekcioj de komutgrupvaloraj garboj"@eo,
        "functores derivados pola dereita do functor de seccións globais Γ: AbSh → Ab"@gl,
        "代数幾何学の理論"@ja,
        "全局截面函子Γ: AbSh → Ab的右导出函子"@zh ;
    schema1:version 2385237384 ;
    wikibase:identifiers 9 ;
    wikibase:sitelinks 8 ;
    wikibase:statements 24 ;
    skos:altLabel "cohomology of sheaves"@en,
        "kohomologio de garboj"@eo,
        "cohomoloxía de feixes"@gl,
        "層のオイラー標数"@ja ;
    p:P10037 wds:Q1493952-997f256b-40e6-ff1d-41cc-4b54e9e6832d ;
    p:P10283 wds:Q1493952-DD9819B8-0839-4030-8146-149475B1CADA ;
    p:P10376 wds:Q1493952-9f2ce878-4c00-195d-ccf0-65092f4e7f00 ;
    p:P1482 wds:Q1493952-572ed24b-4f3c-de4f-fe0d-04d042041471 ;
    p:P2534 wds:Q1493952-ac960f9a-434a-799a-8a05-aa7477ef5271 ;
    p:P2579 wds:Q1493952-23D800EA-FE5D-4123-B46A-4D3308012294 ;
    p:P279 wds:Q1493952-dbda72fc-481e-52f6-2b79-1c70a934086c ;
    p:P31 wds:Q1493952-2204ee54-4b5f-103c-c549-894b66c06971 ;
    p:P3285 wds:Q1493952-41861801-43e6-400a-dde9-3fb90fa735df ;
    p:P361 wds:Q1493952-4757FE5A-538F-4293-A080-D84DCF710E29,
        wds:Q1493952-EA87654B-6679-4767-8C68-BAE6459D69EA ;
    p:P4215 wds:Q1493952-3B4EAA3E-8214-4C25-864B-7752A7BFE21F ;
    p:P6104 wds:Q1493952-E9B2B0DB-0A41-4CEE-BF79-0F13E002C1FA ;
    p:P6366 wds:Q1493952-0D33A4E8-1D03-454B-8006-BE47CBA87D6E ;
    p:P646 wds:Q1493952-0FB17501-20A5-4E05-A238-2DA63A4AC379 ;
    p:P6781 wds:Q1493952-7cc73f00-4b26-ec56-a805-9f3e97c0581c ;
    p:P7235 wds:Q1493952-1d13dcfe-4597-5df2-7c83-62bc0779c7be,
        wds:Q1493952-3f586b51-4380-91d1-e374-e80405acb36a,
        wds:Q1493952-67f251da-4d56-341e-581c-66471aed7c4f,
        wds:Q1493952-72994e73-4b8d-6bd6-1c27-41adc906fc19,
        wds:Q1493952-8233cbce-4b6c-5bd7-f145-3b63cfe0f384,
        wds:Q1493952-82cd4a75-495c-bea3-6d9a-c7035f27cb50 ;
    p:P7726 wds:Q1493952-a76e3208-4392-ec33-a693-3df7babc5be2 ;
    p:P910 wds:Q1493952-58fad38e-423b-a72c-d43e-a758f1a2e0b9 ;
    wdtn:P3285 <http://msc2010.org/resources/MSC/2010/55N30> ;
    wdtn:P6366 <https://makg.org/entity/93067474> ;
    wdt:P10037 "gruppi-di-coomologia-dei-fasci" ;
    wdt:P10283 "C93067474" ;
    wdt:P10376 "mathematics/sheaf-cohomology" ;
    wdt:P1482 <https://mathoverflow.net/tags/sheaf-cohomology> ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msup><mi data-mjx-texclass=\"OP\" mathvariant=\"normal\">H</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msup><mo stretchy=\"false\">(</mo><mi>X</mi><mo>;</mo><mrow data-mjx-texclass=\"ORD\"><mi data-mjx-variant=\"-tex-calligraphic\">ℱ</mi></mrow><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><msup><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">R</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msup><msub><mi mathvariant=\"normal\">&#x0393;</mi><mrow data-mjx-texclass=\"ORD\"><mi>X</mi></mrow></msub><mo stretchy=\"false\">(</mo><mrow data-mjx-texclass=\"ORD\"><mi data-mjx-variant=\"-tex-calligraphic\">ℱ</mi></mrow><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q77827144 ;
    wdt:P279 wd:Q320245 ;
    wdt:P31 wd:Q20026918 ;
    wdt:P3285 "55N30" ;
    wdt:P361 wd:Q114703820,
        wd:Q114715488 ;
    wdt:P4215 "sheaf cohomology" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "93067474" ;
    wdt:P646 "/m/0422gt" ;
    wdt:P6781 "Definition:Sheaf_Cohomology" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi data-mjx-texclass=\"OP\" mathvariant=\"normal\">H</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi mathvariant=\"normal\">&#x0393;</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>X</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>i</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi data-mjx-variant=\"-tex-calligraphic\">ℱ</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">R</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7726 "SheafCohomology" ;
    wdt:P910 wd:Q114722119 .