"anticyclotomic" meaning in All languages combined

See anticyclotomic on Wiktionary

Adjective [English]

Etymology: anti- + cyclotomic Etymology templates: {{prefix|en|anti|cyclotomic}} anti- + cyclotomic Head templates: {{en-adj|-}} anticyclotomic (not comparable)
  1. (number theory) Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field. Tags: not-comparable Categories (topical): Number theory
    Sense id: en-anticyclotomic-en-adj-wyPaEhYI Categories (other): English entries with incorrect language header, English terms prefixed with anti- Topics: mathematics, number-theory, sciences

Download JSON data for anticyclotomic meaning in All languages combined (1.7kB)

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    {
      "args": {
        "1": "en",
        "2": "anti",
        "3": "cyclotomic"
      },
      "expansion": "anti- + cyclotomic",
      "name": "prefix"
    }
  ],
  "etymology_text": "anti- + cyclotomic",
  "head_templates": [
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        "1": "-"
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      "expansion": "anticyclotomic (not comparable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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        },
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          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
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      "examples": [
        {
          "ref": "2015, Santiago Molina Blanco, “Anticyclotomic p-adic l-functions and the exceptional zero phenomenon”, in arXiv",
          "text": "Our methods are based on a new construction of the anticyclotomic p-adic L-function by means of the corresponding automorphic representation..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field."
      ],
      "id": "en-anticyclotomic-en-adj-wyPaEhYI",
      "links": [
        [
          "number theory",
          "number theory"
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      ],
      "raw_glosses": [
        "(number theory) Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "anticyclotomic"
}
{
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  ],
  "etymology_text": "anti- + cyclotomic",
  "head_templates": [
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        "en:Number theory"
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      "examples": [
        {
          "ref": "2015, Santiago Molina Blanco, “Anticyclotomic p-adic l-functions and the exceptional zero phenomenon”, in arXiv",
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          "type": "quotation"
        }
      ],
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        "Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field."
      ],
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        "(number theory) Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field."
      ],
      "tags": [
        "not-comparable"
      ],
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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 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.