"Kodaira vanishing theorem" meaning in English

See Kodaira vanishing theorem in All languages combined, or Wiktionary

Proper name

Etymology: Named after Kunihiko Kodaira. Head templates: {{en-proper noun}} Kodaira vanishing theorem
  1. (mathematics) A basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. Wikipedia link: Kunihiko Kodaira Categories (topical): Mathematics

Download JSON data for Kodaira vanishing theorem meaning in English (1.7kB)

{
  "etymology_text": "Named after Kunihiko Kodaira.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Kodaira vanishing theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero."
      ],
      "id": "en-Kodaira_vanishing_theorem-en-name-Lnon2JpW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "cohomology",
          "cohomology"
        ],
        [
          "group",
          "group"
        ],
        [
          "indices",
          "index"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Kunihiko Kodaira"
      ]
    }
  ],
  "word": "Kodaira vanishing theorem"
}
{
  "etymology_text": "Named after Kunihiko Kodaira.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Kodaira vanishing theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sheaf",
          "sheaf"
        ],
        [
          "cohomology",
          "cohomology"
        ],
        [
          "group",
          "group"
        ],
        [
          "indices",
          "index"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Kunihiko Kodaira"
      ]
    }
  ],
  "word": "Kodaira vanishing theorem"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.