"affine variety" meaning in English

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    {
      "form": "affine varieties",
      "tags": [
        "plural"
      ]
    }
  ],
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      "args": {},
      "expansion": "affine variety (plural affine varieties)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "langcode": "en",
          "name": "Algebraic geometry",
          "orig": "en:Algebraic geometry",
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            "Geometry",
            "Mathematics",
            "Formal sciences",
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      ],
      "glosses": [
        "A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side."
      ],
      "id": "en-affine_variety-en-noun-C2Z3V3i-",
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
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      ],
      "raw_glosses": [
        "(algebraic geometry) A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side."
      ],
      "related": [
        {
          "word": "affine algebraic set"
        }
      ],
      "synonyms": [
        {
          "word": "affine algebraic variety"
        }
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "affine variety"
}

{
  "forms": [
    {
      "form": "affine varieties",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "affine variety (plural affine varieties)",
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "affine algebraic set"
    }
  ],
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        "en:Algebraic geometry"
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      "glosses": [
        "A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side."
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
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      "raw_glosses": [
        "(algebraic geometry) A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side."
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
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    }
  ],
  "synonyms": [
    {
      "word": "affine algebraic variety"
    }
  ],
  "word": "affine variety"
}