"Riemann surface" meaning in English

{
  "etymology_text": "From Bernhard Riemann, German mathematician.",
  "forms": [
    {
      "form": "Riemann surfaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Riemann surface (plural Riemann surfaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Manifolds",
          "orig": "en:Manifolds",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Shapes",
          "orig": "en:Shapes",
          "parents": [
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Surfaces",
          "orig": "en:Surfaces",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A one-dimensional complex manifold; a generalization of the complex plane."
      ],
      "id": "en-Riemann_surface-en-noun-fnvpmsSD",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "complex plane",
          "complex plane"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A one-dimensional complex manifold; a generalization of the complex plane."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Límàn qūmiàn",
          "sense": "manifold",
          "word": "黎曼曲面"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "manifold",
          "word": "Riemannin pinta"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "manifold",
          "tags": [
            "feminine"
          ],
          "word": "surface de Riemann"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "manifold",
          "tags": [
            "feminine"
          ],
          "word": "riemannsche Fläche"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "Rīman-men",
          "sense": "manifold",
          "word": "リーマン面"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "Rímanova povérxnostʹ",
          "sense": "manifold",
          "tags": [
            "feminine"
          ],
          "word": "Ри́манова пове́рхность"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "rímanova povérxnostʹ",
          "sense": "manifold",
          "tags": [
            "feminine"
          ],
          "word": "ри́манова пове́рхность"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "manifold",
          "tags": [
            "common-gender"
          ],
          "word": "Riemannyta"
        }
      ],
      "wikipedia": [
        "Riemann surface"
      ]
    }
  ],
  "word": "Riemann surface"
}

{
  "etymology_text": "From Bernhard Riemann, German mathematician.",
  "forms": [
    {
      "form": "Riemann surfaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Riemann surface (plural Riemann surfaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
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        "English eponyms",
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        "Japanese terms with redundant script codes",
        "en:Manifolds",
        "en:Mathematics",
        "en:Shapes",
        "en:Surfaces"
      ],
      "glosses": [
        "A one-dimensional complex manifold; a generalization of the complex plane."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "complex plane",
          "complex plane"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A one-dimensional complex manifold; a generalization of the complex plane."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Riemann surface"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Límàn qūmiàn",
      "sense": "manifold",
      "word": "黎曼曲面"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "manifold",
      "word": "Riemannin pinta"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "manifold",
      "tags": [
        "feminine"
      ],
      "word": "surface de Riemann"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "manifold",
      "tags": [
        "feminine"
      ],
      "word": "riemannsche Fläche"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "Rīman-men",
      "sense": "manifold",
      "word": "リーマン面"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "Rímanova povérxnostʹ",
      "sense": "manifold",
      "tags": [
        "feminine"
      ],
      "word": "Ри́манова пове́рхность"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "rímanova povérxnostʹ",
      "sense": "manifold",
      "tags": [
        "feminine"
      ],
      "word": "ри́манова пове́рхность"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "manifold",
      "tags": [
        "common-gender"
      ],
      "word": "Riemannyta"
    }
  ],
  "word": "Riemann surface"
}