"arithmetic geometry" meaning in English

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  "lang_code": "en",
  "pos": "noun",
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          "langcode": "en",
          "name": "Arithmetic",
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      "examples": [
        {
          "text": "1994, Nancy Childress, John W. Jones (editors), Arithmetic Geometry: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, American Mathematical Society, back cover,\nThis book resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993."
        },
        {
          "ref": "2010, Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta, Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School, Springer, page v",
          "text": "Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over nonalgebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory.",
          "type": "quotation"
        },
        {
          "ref": "2013, Matthieu Romagny, “Models of Curves”, in Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ, editors, Arithmetic and Geometry Around Galois Theory, Springer, page 149",
          "text": "Their occurrence in arithmetic geometry is ubiquitous for the study of ℓ-adic or p-adic cohomology, and of Galois representations.",
          "type": "quotation"
        },
        {
          "ref": "2014, Atsushi Moriwaki, Arakelov Geometry, American Mathematical Society, page vii",
          "text": "Arakelov geometry is one of the branches in arithmetic geometry.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ)."
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        "(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ)."
      ],
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        {
          "sense": "branch of mathematics",
          "word": "arithmetic algebraic geometry"
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          "sense": "branch of mathematics",
          "word": "arithmetical algebraic geometry"
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      "translations": [
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          "code": "hy",
          "lang": "Armenian",
          "roman": "tʻvabanakan erkračʻapʻutʻyun",
          "sense": "branch of mathematics",
          "word": "թվաբանական երկրաչափություն"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "géométrie arithmétique"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "geometria aritmetica"
        }
      ]
    }
  ],
  "word": "arithmetic geometry"
}

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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "text": "1994, Nancy Childress, John W. Jones (editors), Arithmetic Geometry: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, American Mathematical Society, back cover,\nThis book resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993."
        },
        {
          "ref": "2010, Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta, Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School, Springer, page v",
          "text": "Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over nonalgebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory.",
          "type": "quotation"
        },
        {
          "ref": "2013, Matthieu Romagny, “Models of Curves”, in Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ, editors, Arithmetic and Geometry Around Galois Theory, Springer, page 149",
          "text": "Their occurrence in arithmetic geometry is ubiquitous for the study of ℓ-adic or p-adic cohomology, and of Galois representations.",
          "type": "quotation"
        },
        {
          "ref": "2014, Atsushi Moriwaki, Arakelov Geometry, American Mathematical Society, page vii",
          "text": "Arakelov geometry is one of the branches in arithmetic geometry.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ)."
      ],
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        "(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ)."
      ],
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      "sense": "branch of mathematics",
      "word": "arithmetic algebraic geometry"
    },
    {
      "sense": "branch of mathematics",
      "word": "arithmetical algebraic geometry"
    },
    {
      "word": "arithmetical geometry"
    }
  ],
  "translations": [
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      "code": "hy",
      "lang": "Armenian",
      "roman": "tʻvabanakan erkračʻapʻutʻyun",
      "sense": "branch of mathematics",
      "word": "թվաբանական երկրաչափություն"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "géométrie arithmétique"
    },
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      "code": "it",
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      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "geometria aritmetica"
    }
  ],
  "word": "arithmetic geometry"
}