"Hirzebruch-Riemann-Roch theorem" meaning in All languages combined

See Hirzebruch-Riemann-Roch theorem on Wiktionary

Proper name [English]

Forms: the Hirzebruch-Riemann-Roch theorem [canonical]
Etymology: Named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch. Head templates: {{en-prop|def=1}} the Hirzebruch-Riemann-Roch theorem
  1. (mathematics) A result generalizing the classical Riemann-Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions.
    Sense id: en-Hirzebruch-Riemann-Roch_theorem-en-name-yyUFyxvB Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences
{
  "etymology_text": "Named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch.",
  "forms": [
    {
      "form": "the Hirzebruch-Riemann-Roch theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
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      "expansion": "the Hirzebruch-Riemann-Roch theorem",
      "name": "en-prop"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A result generalizing the classical Riemann-Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions."
      ],
      "id": "en-Hirzebruch-Riemann-Roch_theorem-en-name-yyUFyxvB",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Riemann-Roch theorem",
          "Riemann-Roch theorem"
        ],
        [
          "Riemann surface",
          "Riemann surface"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A result generalizing the classical Riemann-Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hirzebruch-Riemann-Roch theorem"
}
{
  "etymology_text": "Named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch.",
  "forms": [
    {
      "form": "the Hirzebruch-Riemann-Roch theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Hirzebruch-Riemann-Roch theorem",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A result generalizing the classical Riemann-Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Riemann-Roch theorem",
          "Riemann-Roch theorem"
        ],
        [
          "Riemann surface",
          "Riemann surface"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A result generalizing the classical Riemann-Roch theorem on Riemann surfaces to all complex algebraic varieties of higher dimensions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hirzebruch-Riemann-Roch theorem"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-12-23 from the enwiktionary dump dated 2025-12-02 using wiktextract (6fdc867 and 9905b1f). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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