"Iitaka dimension" meaning in English

See Iitaka dimension in All languages combined, or Wiktionary

Noun

Forms: Iitaka dimensions [plural]
Etymology: Introduced by Shigeru Iitaka. Head templates: {{en-noun}} Iitaka dimension (plural Iitaka dimensions)
  1. (algebraic geometry) The Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L. Wikipedia link: Iitaka dimension, Shigeru Iitaka Categories (topical): Algebraic geometry Related terms: Kodaira dimension

Inflected forms

Download JSON data for Iitaka dimension meaning in English (1.9kB)

{
  "etymology_text": "Introduced by Shigeru Iitaka.",
  "forms": [
    {
      "form": "Iitaka dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Iitaka dimension (plural Iitaka dimensions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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": "Algebraic geometry",
          "orig": "en:Algebraic geometry",
          "parents": [
            "Algebra",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L."
      ],
      "id": "en-Iitaka_dimension-en-noun-x-vmL22s",
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "line bundle",
          "line bundle"
        ],
        [
          "algebraic variety",
          "algebraic variety"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "image",
          "image"
        ],
        [
          "rational map",
          "rational map"
        ],
        [
          "projective space",
          "projective space"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry) The Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L."
      ],
      "related": [
        {
          "word": "Kodaira dimension"
        }
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Iitaka dimension",
        "Shigeru Iitaka"
      ]
    }
  ],
  "word": "Iitaka dimension"
}
{
  "etymology_text": "Introduced by Shigeru Iitaka.",
  "forms": [
    {
      "form": "Iitaka dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Iitaka dimension (plural Iitaka dimensions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Kodaira dimension"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Algebraic geometry"
      ],
      "glosses": [
        "The Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L."
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "line bundle",
          "line bundle"
        ],
        [
          "algebraic variety",
          "algebraic variety"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "image",
          "image"
        ],
        [
          "rational map",
          "rational map"
        ],
        [
          "projective space",
          "projective space"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry) The Iitaka dimension of a line bundle L on an algebraic variety X is the dimension of the image of the rational map to projective space determined by L."
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Iitaka dimension",
        "Shigeru Iitaka"
      ]
    }
  ],
  "word": "Iitaka dimension"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.