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geometry > algebraic geometry > birational geometry

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birational geometry  

Definition

  • In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Birational_geometry)

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http://data.loterre.fr/ark:/67375/PSR-QC3MQSW1-B

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