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algebraic geometry

branch of mathematics dealing with algebraic varieties and their generalizations (schemes, etc.)

en-US/ˌæld͡ʒəˈbɹeɪɪk d͡ʒiˈɑmətɹi/
en-GB/ˌæld͡ʒɪˈbɹeɪɪk d͡ʒɪˈɒməˌtɹɪ/

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area of mathematics