"Zariski-Riemann space" meaning in English

{
  "etymology_text": "Named by Nagata (1962) after Oscar Zariski and Bernhard Riemann.",
  "forms": [
    {
      "form": "Zariski-Riemann spaces",
      "tags": [
        "plural"
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    }
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "glosses": [
        "A locally ringed space of a subring k of a field K, whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve."
      ],
      "id": "en-Zariski-Riemann_space-en-noun-jsk3Gvsq",
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "field",
          "field"
        ],
        [
          "point",
          "point"
        ],
        [
          "valuation ring",
          "valuation ring"
        ],
        [
          "generalize",
          "generalize"
        ],
        [
          "Riemann surface",
          "Riemann surface"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "curve",
          "curve"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry) A locally ringed space of a subring k of a field K, whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve."
      ],
      "synonyms": [
        {
          "word": "Zariski space"
        }
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Bernhard Riemann",
        "Oscar Zariski",
        "Zariski-Riemann space"
      ]
    }
  ],
  "word": "Zariski-Riemann space"
}

{
  "etymology_text": "Named by Nagata (1962) after Oscar Zariski and Bernhard Riemann.",
  "forms": [
    {
      "form": "Zariski-Riemann spaces",
      "tags": [
        "plural"
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    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A locally ringed space of a subring k of a field K, whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve."
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "field",
          "field"
        ],
        [
          "point",
          "point"
        ],
        [
          "valuation ring",
          "valuation ring"
        ],
        [
          "generalize",
          "generalize"
        ],
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          "Riemann surface",
          "Riemann surface"
        ],
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          "complex",
          "complex"
        ],
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          "curve",
          "curve"
        ]
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      "raw_glosses": [
        "(algebraic geometry) A locally ringed space of a subring k of a field K, whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve."
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ],
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        "Oscar Zariski",
        "Zariski-Riemann space"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Zariski space"
    }
  ],
  "word": "Zariski-Riemann space"
}