ag-gipp/GoUldI

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data/73.json

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{
  "definitions" : {
    "C" : [ "1-cycles", { } ],
    "K_{X}" : [ "canonical divisor", {
      "Q844128" : "Canonical bundle"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\{C : K_X \\cdot C = 0\\}",
  "math_inputtex_semantic" : "\\{ \\w{Q245595}{C} : \\w{Q844128}{K}_X \\cdot C = 0\\}",
  "correct_tex" : "\\{C : K_X \\cdot C = 0\\}",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\{C:K_{X}\\cdot C=0\\}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n      <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">{</mo>\n      <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C</mi>\n      <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.11.1.1.cmml\">:</mo>\n      <mrow id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">\n        <mrow id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.cmml\">\n          <msub id=\"p1.1.m1.1.11.2.1.1\" xref=\"p1.1.m1.1.11.2.1.1.cmml\">\n            <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">K</mi>\n            <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">X</mi>\n          </msub>\n          <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">⋅</mo>\n          <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">C</mi>\n        </mrow>\n        <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">=</mo>\n        <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">0</mn>\n      </mrow>\n      <mo stretchy=\"false\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.11.1.1.cmml\">}</mo>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.1\">conditional-set</csymbol>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">Q245595</csymbol>\n        <apply id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\n          <eq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"/>\n          <apply id=\"p1.1.m1.1.11.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1\">\n            <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">⋅</ci>\n            <apply id=\"p1.1.m1.1.11.2.1.1.cmml\" xref=\"p1.1.m1.1.11.2.1.1\">\n              <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.2.1.1.1.cmml\" xref=\"p1.1.m1.1.11.2.1.1\">subscript</csymbol>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q844128</csymbol>\n              <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">𝑋</ci>\n            </apply>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q245595</csymbol>\n          </apply>\n          <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">0</cn>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\{C:K_{X}\\cdot C=0\\}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=21482#math21482.45",
  "title" : "Cone_of_curves",
  "type" : "definition"
}